User Guide: 1 Pre-processing

Package ‘photobiologyFlecks’ 0.0.0.9000

Pedro J. Aphalo

2026-04-22

Introduction

At the moment this vignette has the double purpose of keeping track of my progress and testing the performance of the functions in the package. My aim is to analyse a large set of high frequency time series measurements of sunlight at seven different wavebands done with broadband sensors over one summer.

The data set will be large with seven variables and a few hundred millions of time points. During daytime measurements were acquired in bursts of 18000 time points in 15 min every 30 min.

The effect of clouds is intermittent and varies in intensity gradually. Using quantiles, mean, MAD and variance on the irradiance, and on the running differences is one possible approach. However, a recent additional approach is based on detecting change points in the running differences as a basis to quantify the duration and amplitude of cloud/shade flecks.

The data are in large text files saved with the software PC400 from Campbell Scientific, the supplier of the data logger used to collect the data set.

The first step is to read-in the data and split it into “chunks” of data from 18000 consecutive observations at the gaps between the “bursts” of observations, discarding any incomplete sets and any data measured at a lower frequency. At this stage running differences for time stamps need to be computed, and running differences for the measured variables can also be added at the same time.

The smaller values in the running differences are most likely the result of measurement “noise” and could be “cleaned” before the next steps. The differences can be used directly or discretized based on their sign.

Current state

The reading of the data from the 3.7GB text file into a tibble is the slowest step. Other computations are fast even with the functions are coded fully in R.

Set up

library(dplyr)
#> 
#> Attaching package: 'dplyr'
#> The following objects are masked from 'package:stats':
#> 
#>     filter, lag
#> The following objects are masked from 'package:base':
#> 
#>     intersect, setdiff, setequal, union
library(photobiology)
#> Loading required package: SunCalcMeeus
#> Documentation at https://docs.r4photobiology.info/
library(photobiologyInOut)
library(photobiologyFlecks)
library(ggplot2)
set_theme(theme_bw())

The data

We use data included in the package as a data frame. These data were originally saved as a CSV file by Campbell Scientific’s PC400 program. The data were acquired with a CR6 data logger.

head(three_chunks.tb)
#> # A tibble: 6 × 2
#>   time                Q_PAR
#>   <dttm>              <dbl>
#> 1 2025-07-05 09:44:35  762.
#> 2 2025-07-05 09:44:35  762.
#> 3 2025-07-05 09:44:35  762.
#> 4 2025-07-05 09:44:35  762.
#> 5 2025-07-05 09:44:35  762.
#> 6 2025-07-05 09:44:35  762.

plot(three_chunks.tb, cex = 0.1)

Split data into chunks

The time series data of sunlight have been measured in 15-min-long bursts separated by 15 min with no data acquisition. Data from each burst will be analysed separately. For this the data frame has to be split at the gaps between bursts.

# keep all qty columns, add differences
chunks.ls <-
  split_chunks(three_chunks.tb,
               time.name = "time",
               qty.name = NULL,
               chunk.min.time = 0.051,
               chunk.min.rows = 1.8e4,
               verbose = FALSE)
#> Found 3 chunks with length(s) 18000

Some checks

length(chunks.ls) == length(unique(names(chunks.ls)))
#> [1] TRUE
nchunks_found <- length(chunks.ls)

str(chunks.ls, give.attr = FALSE)
#> List of 3
#>  $ 2025-07-05 10:00:00: tibble [18,000 × 4] (S3: tbl_df/tbl/data.frame)
#>   ..$ time      : POSIXct[1:18000], format: "2025-07-05 10:00:00" "2025-07-05 10:00:00" ...
#>   ..$ Q_PAR     : num [1:18000] 1395 1396 1396 1396 1396 ...
#>   ..$ time.diff : num [1:18000] 9e+02 5e-02 5e-02 5e-02 5e-02 ...
#>   ..$ Q_PAR.diff: num [1:18000] NA 5.08 -3.96 5.76 -2.3 ...
#>  $ 2025-07-05 10:30:00: tibble [18,000 × 4] (S3: tbl_df/tbl/data.frame)
#>   ..$ time      : POSIXct[1:18000], format: "2025-07-05 10:30:00" "2025-07-05 10:30:00" ...
#>   ..$ Q_PAR     : num [1:18000] 1796 1797 1802 1805 1808 ...
#>   ..$ time.diff : num [1:18000] 9e+02 5e-02 5e-02 5e-02 5e-02 ...
#>   ..$ Q_PAR.diff: num [1:18000] NA 19.8 95.4 64.8 56.5 ...
#>  $ 2025-07-05 11:00:00: tibble [18,000 × 4] (S3: tbl_df/tbl/data.frame)
#>   ..$ time      : POSIXct[1:18000], format: "2025-07-05 11:00:00" "2025-07-05 11:00:00" ...
#>   ..$ Q_PAR     : num [1:18000] 1137 1137 1137 1137 1137 ...
#>   ..$ time.diff : num [1:18000] 9e+02 5e-02 5e-02 5e-02 5e-02 ...
#>   ..$ Q_PAR.diff: num [1:18000] NA -3.68 -1.02 0.18 -1.74 ...

plot(Q_PAR ~ time, data = chunks.ls[[1]], type = "l", lwd = 0.5)

plot(Q_PAR.diff ~ time, data = chunks.ls[[1]], type = "l", lwd = 0.5)

Summaries

Statistics

Something seems wrong as I expect a 1 h time shift to be needed!

statistics.tb <- 
  summarize_chunks(chunks.ls, 
                   add.times = TRUE, 
                   tz = "EET",
                   time.shift = 0,
                   add.solar.times = TRUE,
                   geocode = data.frame(lon = 25.019212, lat = 60.226805),
                   verbose = FALSE)
#> Summarized 3 chunks

colnames(statistics.tb)
#> [1] "Q_PAR"      "time.diff"  "Q_PAR.diff" "parameter"  "chunk"     
#> [6] "date"       "time"       "solar.time"
length(unique(statistics.tb[["chunk"]])) == nchunks_found
#> [1] TRUE
length(unique(statistics.tb[["time"]])) == nchunks_found
#> [1] TRUE

statistics.tb
#> # A tibble: 30 × 8
#>       Q_PAR time.diff Q_PAR.diff parameter chunk             date               
#>       <dbl>     <dbl>      <dbl> <fct>     <chr>             <dttm>             
#>  1  922.       0.0500 -269.      min       2025-07-05 10:00… 2025-07-05 00:00:00
#>  2 1006.       0.0500   -8.00    q.25      2025-07-05 10:00… 2025-07-05 00:00:00
#>  3 1135.       0.0500   -0.330   median    2025-07-05 10:00… 2025-07-05 00:00:00
#>  4 1514.       0.0500    7.76    q.75      2025-07-05 10:00… 2025-07-05 00:00:00
#>  5 2218.     900.      332.      max       2025-07-05 10:00… 2025-07-05 00:00:00
#>  6 1265.       0.1      -0.0780  mean      2025-07-05 10:00… 2025-07-05 00:00:00
#>  7  317.       6.71     34.4     sd        2025-07-05 10:00… 2025-07-05 00:00:00
#>  8  257.       0        11.7     mad       2025-07-05 10:00… 2025-07-05 00:00:00
#>  9    3.99     0.0149   -0.00227 CVsd      2025-07-05 10:00… 2025-07-05 00:00:00
#> 10    0.226    0       -35.4     CVmad     2025-07-05 10:00… 2025-07-05 00:00:00
#> # ℹ 20 more rows
#> # ℹ 2 more variables: time <dttm>, solar.time <dbl>

Locating change points

Using diff()

Running differences after slight denoising can be used to detect changes in the sign of the local slope, the peaks and valleys of a time series. In other words, the flecks are identified based on local maxima and minima.

We use relative.threshold = 0.20 $\mu mol\,m^{-2}\,s^{-2}$ as the minimum rate of change in irradiance per second to be considered relevant and not discarded as noise.

  chunks_dn.ls <- 
    denoise_chunks(chunks.ls, 
                   time.name = "time",
                   relative.threshold = 0.0067, 
                   add.signs = TRUE)
#> Denoised 3 chunks

plot(Q_PAR.diff ~ time, data = chunks_dn.ls[[1]], type = "l", lwd = 0.5)

In a continuous time series without noise, the derivative is equal to zero at the point where the slope changes sign. In a time series measured at discrete time points, a change in sign must be used as well as a zero value to locate maxima and minima, as the change in slope is most likely to land in-between two time points.

Once de-noised, changes in slope can be detected using sign() to discretize the data into values indicating decrease (-1) , no-change (0) and increase (+1).

Considering each of the three bursts of PAR measurements, we find many time intervals with a detectable change in irradiance.

# time steps with no change
sum(abs(chunks_dn.ls[[1]]$Q_PAR.diff) < 0.01, na.rm = TRUE)
#> [1] 11471
# increasing time steps
sum(chunks_dn.ls[[1]]$Q_PAR.diff > 0.01, na.rm = TRUE)
#> [1] 3233
# decreasing time steps
sum(chunks_dn.ls[[1]]$Q_PAR.diff > 0.01, na.rm = TRUE)
#> [1] 3233

# time steps with no change
sum(abs(chunks_dn.ls[[2]]$Q_PAR.diff) < 0.01, na.rm = TRUE)
#> [1] 13145
# increasing time steps
sum(chunks_dn.ls[[2]]$Q_PAR.diff > 0.01, na.rm = TRUE)
#> [1] 2211
# decreasing time steps
sum(chunks_dn.ls[[2]]$Q_PAR.diff > 0.01, na.rm = TRUE)
#> [1] 2211

# time steps with no change
sum(abs(chunks_dn.ls[[3]]$Q_PAR.diff) < 0.01, na.rm = TRUE)
#> [1] 13991
# increasing time steps
sum(chunks_dn.ls[[3]]$Q_PAR.diff > 0.01, na.rm = TRUE)
#> [1] 1979
# decreasing time steps
sum(chunks_dn.ls[[3]]$Q_PAR.diff > 0.01, na.rm = TRUE)
#> [1] 1979

Subsequently, changes in slope can be located using rle(). In this example all differences smaller than 1 % of the mean irradiance per second were discarded as noise.

sign_changes.ls <- list()
for (i in names(chunks_dn.ls)) {
  sign_changes.ls[[i]] <- 
    list(rle = rle(chunks_dn.ls[[i]][["Q_PAR.sign"]]))
}
length(sign_changes.ls)
#> [1] 3

Check that sum of lengths equal length of burst.

sum(sign_changes.ls[[1]][["rle"]][["lengths"]])
#> [1] 18000

sum(sign_changes.ls[[2]][["rle"]][["lengths"]])
#> [1] 18000

sum(sign_changes.ls[[3]][["rle"]][["lengths"]])
#> [1] 18000

sign_changes.ls
#> $`2025-07-05 10:00:00`
#> $`2025-07-05 10:00:00`$rle
#> Run Length Encoding
#>   lengths: int [1:2125] 1 7 1 4 1 1 10 1 63 1 ...
#>   values : num [1:2125] NA 0 -1 0 -1 1 0 -1 0 -1 ...
#> 
#> 
#> $`2025-07-05 10:30:00`
#> $`2025-07-05 10:30:00`$rle
#> Run Length Encoding
#>   lengths: int [1:1429] 1 11 1 33 1 9 1 1 2 1 ...
#>   values : num [1:1429] NA 1 0 1 -1 1 0 -1 1 -1 ...
#> 
#> 
#> $`2025-07-05 11:00:00`
#> $`2025-07-05 11:00:00`$rle
#> Run Length Encoding
#>   lengths: int [1:1072] 1 1464 1 18 1 6 1 4 1 2 ...
#>   values : num [1:1072] NA 0 1 0 1 0 1 0 1 0 ...

Durand’s et al. algorithm

# keep all qty columns, do not add differences
chunks.ls <-
  split_chunks(three_chunks.tb,
               time.name = "time",
               qty.name = NULL,
               chunk.min.time = 0.051,
               chunk.min.rows = 1.8e4,
               add.diffs = FALSE,
               verbose = FALSE)
#> Found 3 chunks with length(s) 18000

# extract one chunk, 15 min at 0.05 s
chunk <- chunks.ls[[1]]
range(chunk$time) |> as.numeric() |> diff() # seconds
#> [1] 899.95

# time into chunk in seconds as numeric
chunk$tod <- as_tod(chunk$time, unit.out = "seconds")
chunk$chunk.time <- chunk$tod - chunk$tod[1]
range(chunk$chunk.time)
#> [1]   0.00 899.95

Z <- find_zeros(time = chunk$chunk.time,
                var = chunk$Q_PAR)
#> Found 3505zeros
#> You may want to try with a different 'zero.lim' value.

sun_flecks.df <- find_flecks(time = chunk$chunk.time,
                             var = chunk$Q_PAR,
                             minTime = 0.001, 
                             minAmp = 0, 
                             minPdiff = 0.00025,
                             asymmetry = 0,
                             shadeflecks = FALSE,
                             asmMethod = "max",
                             time.digits = 6,
                             var.digits = 5,
                             verbose = FALSE)
#> Found 241 sunflecks

sun_flecks.fig <-
  ggplot(data = chunk) +
  geom_line(aes(chunk.time, Q_PAR), linewidth = 0.2, na.rm = TRUE) +
  geom_point(aes(peakTime, peak), data = sun_flecks.df, 
             size = 0.5, colour = "coral2", na.rm = TRUE) +
  geom_point(aes(baselineTime1, baseline1), data = sun_flecks.df,
             size = 0.5, colour = "chartreuse3", na.rm = TRUE) +
  geom_point(aes(baselineTime2, baseline2), data = sun_flecks.df,
             size = 0.5, colour = "chartreuse3", na.rm = TRUE) +
  geom_text(aes(peakTime, peak, label = no), data = sun_flecks.df,
            colour = "coral2",
            position = position_nudge(y = 30), size = 2.7, na.rm = TRUE,
            fontface = "bold")

sun_flecks.fig

sun_flecks.fig + xlim(0, 100)

knitr::kable(sun_flecks.df)

no	peakTime	peak	baseline1	baseline2	baseline	amplitude	relAmp	percDiff	duration	irradGain	relIrrad	irradTot	baselineTime1	baselineTime2	symmetry	z	timeInterval
1	0.549999	1395.1080	1394.73	1393.15	1393.940	1.17	1.1680	0.0008	0.150	0.0831991	1.663984e+00	278.8706	0.500000	0.649999	symmetric	111	NA
2	0.699999	1394.2670	1393.15	1386.90	1390.025	4.24	4.2420	0.0031	0.950	0.5214949	1.042991e+01	1390.5462	0.649999	1.599998	symmetric	141	0.150000
3	2.999997	1383.7230	1383.30	1382.65	1382.975	0.75	0.7480	0.0005	0.200	0.0674716	1.349433e+00	345.8105	2.949997	3.149997	symmetric	601	2.299998
4	9.099991	1448.7710	1444.78	1448.23	1446.505	2.27	2.2660	0.0016	0.500	0.4343587	8.687183e+00	796.0106	8.649992	9.149991	symmetric	1821	6.099994
5	9.399991	1448.0429	1447.60	1446.07	1446.835	1.21	1.2079	0.0008	0.250	0.0897367	1.794737e+00	434.1402	9.349991	9.599991	symmetric	1881	0.300000
6	14.299986	1357.3929	1356.79	1355.86	1356.325	1.07	1.0679	0.0008	0.300	0.0869277	1.738555e+00	474.7989	14.199986	14.499986	symmetric	2861	4.899995
7	14.549986	1357.5875	1355.86	1356.59	1356.225	1.36	1.3625	0.0010	0.100	0.0681177	1.362355e+00	203.5017	14.499986	14.599986	symmetric	2911	0.250000
8	14.699986	1358.0347	1356.59	1357.69	1357.140	0.89	0.8947	0.0007	0.150	0.0276111	5.522232e-01	271.4560	14.599986	14.749986	symmetric	2941	0.150000
9	17.749983	1410.0300	1409.32	1408.76	1409.040	0.99	0.9900	0.0007	0.300	0.1197255	2.394512e+00	493.2834	17.599983	17.899983	symmetric	3551	3.049997
10	20.249981	1376.7198	1376.30	1375.54	1375.920	0.80	0.7998	0.0006	0.200	0.0743228	1.486458e+00	344.0531	20.199981	20.399981	symmetric	4051	2.499998
11	20.549980	1376.2059	1375.54	1375.47	1375.505	0.70	0.7009	0.0005	0.250	0.0817155	1.634311e+00	412.7326	20.399981	20.649980	symmetric	4111	0.299999
12	20.799980	1377.1448	1375.47	1376.56	1376.015	1.13	1.1298	0.0008	0.200	0.0837132	1.674266e+00	344.0873	20.649980	20.849980	symmetric	4161	0.250000
13	25.999975	1571.5719	1379.65	1570.94	1475.295	96.28	96.2769	0.0653	4.850	7.8083765	1.561677e+02	7236.7504	21.199980	26.049975	symmetric	5201	5.199995
14	26.249975	1572.6850	1570.94	1572.29	1571.615	1.07	1.0700	0.0007	0.300	0.1685732	3.371467e+00	550.2336	26.049975	26.349975	symmetric	5251	0.250000
15	27.749974	1582.1490	1574.10	1581.73	1577.915	4.23	4.2340	0.0027	0.700	0.1758910	3.517824e+00	1183.6111	27.099974	27.799973	symmetric	5551	1.499999
16	28.199973	1584.0859	1583.68	1583.61	1583.645	0.44	0.4409	0.0003	0.150	0.0394673	7.893464e-01	316.7679	28.099973	28.249973	symmetric	5641	0.449999
17	28.349973	1584.6589	1583.61	1582.28	1582.945	1.71	1.7139	0.0011	0.300	0.2255785	4.511573e+00	554.2561	28.249973	28.549973	symmetric	5671	0.150000
18	30.149971	1565.8758	1564.90	1564.69	1564.795	1.08	1.0808	0.0007	0.200	0.1130781	2.261563e+00	391.3111	30.049971	30.249971	symmetric	6031	1.799998
19	30.299971	1565.6095	1564.69	1564.94	1564.815	0.79	0.7945	0.0005	0.100	0.0398313	7.966276e-01	234.7615	30.249971	30.349971	symmetric	6061	0.150000
20	30.599971	1566.9129	1564.94	1566.42	1565.680	1.23	1.2329	0.0008	0.300	0.1284574	2.569149e+00	548.1147	30.349971	30.649971	symmetric	6121	0.300000
21	30.899971	1569.5229	1567.68	1569.01	1568.345	1.18	1.1779	0.0008	0.150	0.1060803	2.121608e+00	313.7750	30.799971	30.949970	symmetric	6181	0.300000
22	31.199970	1573.5104	1569.01	1572.97	1570.990	2.52	2.5204	0.0016	0.350	0.2191727	4.383458e+00	628.6140	30.949970	31.299970	symmetric	6241	0.299999
23	37.399964	1689.4083	1579.93	1688.93	1634.430	54.98	54.9783	0.0336	5.450	12.0844612	2.416895e+02	9001.4479	31.999969	37.449964	symmetric	7481	6.199994
24	37.999964	1690.5056	1689.95	1689.12	1689.535	0.97	0.9706	0.0006	0.100	0.0485279	9.705581e-01	253.4785	37.949964	38.049964	symmetric	7601	0.600000
25	38.199964	1690.3306	1689.12	1689.62	1689.370	0.96	0.9606	0.0006	0.200	0.0891919	1.783840e+00	422.4320	38.049964	38.249964	symmetric	7641	0.200000
26	38.549963	1690.3456	1689.85	1689.67	1689.760	0.59	0.5856	0.0003	0.100	0.0291395	5.827910e-01	253.4933	38.499963	38.599963	symmetric	7711	0.349999
27	39.049963	1691.0578	1690.57	1690.37	1690.470	0.59	0.5878	0.0003	0.150	0.0423968	8.479378e-01	338.1361	38.949963	39.099963	symmetric	7811	0.500000
28	39.449962	1691.6506	1691.14	1691.04	1691.090	0.56	0.5606	0.0003	0.200	0.0479610	9.592210e-01	422.8201	39.399962	39.599962	symmetric	7891	0.399999
29	53.849949	1842.8341	1651.01	1717.47	1684.240	158.59	158.5941	0.0942	0.900	-0.9374014	-1.874805e+01	1599.0890	50.599952	51.499951	symmetric	10771	14.399987
30	54.499948	1850.9821	1850.13	1850.48	1850.305	0.68	0.6771	0.0004	0.100	0.0337669	6.753394e-01	277.5795	54.449948	54.549948	symmetric	10901	0.649999
31	54.799948	1852.6326	1850.10	1850.57	1850.335	2.30	2.2976	0.0012	0.300	0.2919885	5.839776e+00	647.9087	54.649948	54.949948	symmetric	10961	0.300000
32	55.049948	1851.6934	1850.57	1849.05	1849.810	1.88	1.8834	0.0010	0.250	0.2930156	5.860317e+00	555.2347	54.949948	55.199947	symmetric	11011	0.250000
33	55.249947	1849.6014	1849.05	1750.26	1799.655	49.95	49.9464	0.0278	2.150	22.4700181	4.494008e+02	3981.7111	55.199947	57.349945	symmetric	11051	0.199999
34	62.749940	1676.5665	1675.30	1675.54	1675.420	1.15	1.1465	0.0007	0.100	0.0573898	1.147798e+00	251.3700	62.699940	62.799940	symmetric	12551	7.499993
35	63.149940	1678.3378	1676.30	1677.67	1676.985	1.35	1.3528	0.0008	0.250	0.0613269	1.226539e+00	503.1572	62.949940	63.199940	symmetric	12631	0.400000
36	63.399940	1679.9930	1677.83	1679.30	1678.565	1.43	1.4280	0.0009	0.150	0.0582623	1.165248e+00	335.7710	63.299940	63.449939	symmetric	12681	0.250000
37	70.649933	1980.2699	1911.53	1979.31	1945.420	34.85	34.8499	0.0179	1.750	0.9632243	1.926451e+01	3502.7121	68.949934	70.699933	symmetric	14131	7.249993
38	70.799932	1983.8646	1979.31	1982.44	1980.875	2.99	2.9896	0.0015	0.150	0.2102303	4.204609e+00	396.3847	70.699933	70.849932	symmetric	14161	0.149999
39	71.899931	2008.2107	1982.44	2007.52	1994.980	13.23	13.2307	0.0066	1.200	5.6636379	1.132729e+02	2499.3870	70.849932	72.049931	symmetric	14381	1.099999
40	74.799929	1936.3684	1935.56	1934.84	1935.200	1.17	1.1685	0.0006	0.150	0.0976487	1.952976e+00	387.1369	74.699929	74.849929	symmetric	14961	2.899998
41	74.899929	1936.1651	1934.84	1935.04	1934.940	1.23	1.2251	0.0006	0.100	0.0614095	1.228191e+00	290.3017	74.849929	74.949929	symmetric	14981	0.100000
42	75.249928	1933.3473	1932.16	1930.62	1931.390	1.96	1.9573	0.0010	0.150	0.0932264	1.864529e+00	386.3714	75.199928	75.349928	symmetric	15051	0.349999
43	75.449928	1932.8081	1930.62	1929.38	1930.000	2.81	2.8081	0.0015	0.300	0.2668192	5.336389e+00	675.7667	75.349928	75.649928	symmetric	15091	0.200000
44	75.699928	1930.0600	1929.38	1923.93	1926.655	3.41	3.4050	0.0018	0.400	0.4034243	8.068493e+00	867.3962	75.649928	76.049927	symmetric	15141	0.250000
45	76.099927	1925.3020	1923.93	1922.73	1923.330	1.97	1.9720	0.0010	0.100	0.0985624	1.971250e+00	288.5979	76.049927	76.149927	symmetric	15221	0.399999
46	76.199927	1923.4949	1922.73	1821.08	1871.905	51.59	51.5899	0.0276	2.150	12.7981194	2.559626e+02	4130.9904	76.149927	78.299925	symmetric	15241	0.100000
47	83.449920	1704.7368	1699.84	1704.26	1702.050	2.69	2.6868	0.0016	0.550	0.6462556	1.292512e+01	1021.8750	82.949921	83.499920	symmetric	16691	7.249993
48	83.549920	1704.7752	1704.26	1703.97	1704.115	0.66	0.6602	0.0004	0.100	0.0329580	6.591613e-01	255.6501	83.499920	83.599920	symmetric	16711	0.100000
49	83.649920	1704.5920	1703.97	1289.74	1496.855	207.74	207.7370	0.1388	8.300	71.3259778	1.426521e+03	12570.0559	83.599920	91.899912	symmetric	16731	0.100000
50	184.949824	923.7587	923.51	923.50	923.505	0.25	0.2537	0.0003	0.100	0.0126300	2.525999e-01	138.5384	184.899824	184.999824	symmetric	36991	101.299904
51	188.199821	922.8660	922.62	922.62	922.620	0.25	0.2460	0.0003	0.200	0.0271998	5.439967e-01	230.6812	188.049821	188.249820	symmetric	37641	3.249997
52	202.549807	925.0884	924.80	924.83	924.815	0.27	0.2734	0.0003	0.200	0.0269297	5.385948e-01	231.2308	202.399807	202.599807	symmetric	40511	14.349986
53	258.099754	950.6303	950.27	950.39	950.330	0.30	0.3003	0.0003	0.100	0.0149178	2.983573e-01	142.5646	258.049754	258.149754	symmetric	51621	55.549947
54	339.399676	1272.7260	1271.39	1272.31	1271.850	0.88	0.8761	0.0007	0.250	0.0847634	1.695270e+00	381.6396	339.299676	339.549676	symmetric	67881	81.299922
55	339.599676	1272.7521	1272.31	1271.84	1272.075	0.68	0.6771	0.0005	0.150	0.0561274	1.122548e+00	254.4707	339.549676	339.699676	symmetric	67921	0.200000
56	339.749676	1272.6566	1271.84	1272.18	1272.010	0.65	0.6466	0.0005	0.150	0.0586855	1.173712e+00	254.4601	339.699676	339.849676	symmetric	67951	0.150000
57	343.449672	1322.7846	1321.64	1321.90	1321.770	1.01	1.0146	0.0008	0.350	0.1222208	2.444418e+00	528.8305	343.149673	343.499672	symmetric	68691	3.699996
58	343.699672	1321.8338	1321.34	1320.87	1321.105	0.73	0.7287	0.0006	0.150	0.0390887	7.817742e-01	264.2606	343.649672	343.799672	symmetric	68741	0.250000
59	348.699667	1365.6121	1322.90	1365.23	1344.065	21.55	21.5471	0.0160	2.300	-3.4619671	-6.923941e+01	3155.0961	346.449670	348.749667	symmetric	69741	4.999995
60	352.499664	1464.7743	1456.16	1463.97	1460.065	4.71	4.7093	0.0032	0.800	1.3365654	2.673133e+01	1242.3926	351.799664	352.599664	symmetric	70501	3.799997
61	362.499654	1666.3065	1662.80	1665.35	1664.075	2.23	2.2315	0.0013	0.200	0.2021988	4.043980e+00	416.2206	362.399654	362.599654	symmetric	72501	9.999990
62	362.749654	1666.0626	1664.85	1662.53	1663.690	2.37	2.3726	0.0014	0.150	0.1549450	3.098903e+00	332.8934	362.699654	362.849654	symmetric	72551	0.250000
63	362.899654	1663.0930	1662.53	1661.54	1662.035	1.06	1.0580	0.0006	0.100	0.0527770	1.055542e+00	249.3582	362.849654	362.949654	symmetric	72581	0.150000
64	362.999654	1662.0226	1661.54	1658.53	1660.035	1.99	1.9876	0.0012	0.100	0.0994222	1.988445e+00	249.1043	362.949654	363.049654	symmetric	72601	0.100000
65	363.099654	1659.4623	1658.53	1656.09	1657.310	2.15	2.1523	0.0013	0.100	0.1076664	2.153330e+00	248.7038	363.049654	363.149654	symmetric	72621	0.100000
66	363.199654	1656.7284	1656.09	1237.13	1446.610	210.12	210.1184	0.1452	4.750	-77.1999421	-1.544000e+03	6866.5305	363.149654	367.899649	symmetric	72641	0.100000
67	422.799597	1273.9955	1235.73	1265.20	1250.465	23.53	23.5305	0.0188	4.850	32.0999111	6.419988e+02	6159.3782	418.899601	423.749596	symmetric	84561	59.599943
68	428.949591	1243.6479	1227.01	1234.28	1230.645	13.00	13.0029	0.0106	1.950	13.1284861	2.625700e+02	2474.4129	427.999592	429.949590	symmetric	85791	6.149994
69	432.399588	1360.7392	1235.05	1359.63	1297.340	63.40	63.3992	0.0489	2.350	9.0325586	1.806513e+02	3122.6545	430.099590	432.449588	symmetric	86481	3.449997
70	432.499588	1360.6157	1359.63	1330.93	1345.280	15.34	15.3357	0.0114	1.605	1.3418763	2.683755e+01	2221.1305	432.449588	434.054586	symmetric	86501	0.100000
71	436.049584	1351.9581	1350.70	1351.61	1351.155	0.80	0.8031	0.0006	0.150	0.0396131	7.922619e-01	270.2697	435.949584	436.099584	symmetric	87211	3.549996
72	436.649584	1353.1217	1352.11	1351.38	1351.745	1.38	1.3767	0.0010	0.250	0.1445404	2.890812e+00	405.6680	436.549584	436.799583	symmetric	87331	0.600000
73	441.299579	1292.6840	1292.12	1292.33	1292.225	0.46	0.4590	0.0004	0.200	0.0459497	9.189951e-01	323.1021	441.149579	441.349579	symmetric	88261	4.649995
74	441.899579	1296.9991	1293.39	1296.64	1295.015	1.98	1.9841	0.0015	0.400	0.0161521	3.230424e-01	582.7727	441.549579	441.949579	symmetric	88381	0.600000
75	448.349572	1380.7390	1380.20	1380.17	1380.185	0.55	0.5540	0.0004	0.250	0.0579765	1.159531e+00	414.1123	448.249573	448.499572	symmetric	89671	6.449993
76	456.199565	1872.1765	1871.33	1678.02	1774.675	97.50	97.5015	0.0549	2.100	44.6004750	8.920104e+02	3860.1508	456.149565	458.249563	symmetric	91241	7.849993
77	462.999558	1607.9312	1607.18	1065.00	1336.090	271.84	271.8412	0.2035	13.150	-692.0889626	-1.384179e+04	16944.2664	462.849559	475.999546	symmetric	92601	6.799993
78	499.199524	991.3258	990.89	991.05	990.970	0.36	0.3558	0.0004	0.150	0.0151307	3.026139e-01	198.2092	499.099524	499.249524	symmetric	99841	36.199966
79	516.249508	1020.7089	1020.40	1020.45	1020.425	0.28	0.2839	0.0003	0.150	0.0228912	4.578250e-01	204.1081	516.199508	516.349508	symmetric	103251	17.049984
80	529.749495	989.1727	988.87	988.78	988.825	0.35	0.3477	0.0004	0.105	0.0170750	3.414998e-01	148.3410	529.699495	529.804495	symmetric	105951	13.499987
81	557.749468	1615.9978	1615.42	1615.57	1615.495	0.50	0.5028	0.0003	0.150	0.0387117	7.742341e-01	323.1377	557.699468	557.849468	symmetric	111551	27.999973
82	558.199468	1616.9164	1615.68	1615.96	1615.820	1.10	1.0964	0.0007	0.150	0.0739744	1.479489e+00	323.2376	558.099468	558.249468	symmetric	111641	0.450000
83	561.299465	1714.0422	1712.40	1712.69	1712.545	1.50	1.4972	0.0009	0.200	0.2036269	4.072541e+00	428.3402	561.199465	561.399465	symmetric	112261	3.099997
84	580.499446	1266.0193	1265.69	1265.47	1265.580	0.44	0.4393	0.0003	0.100	0.0220445	4.408896e-01	189.8586	580.449446	580.549446	symmetric	116101	19.199981
85	580.599446	1266.4380	1265.47	1265.94	1265.705	0.73	0.7331	0.0006	0.150	0.0649588	1.299177e+00	253.2056	580.549446	580.699446	symmetric	116121	0.100000
86	580.749446	1266.3593	1265.94	1265.90	1265.920	0.44	0.4393	0.0003	0.100	0.0218442	4.368837e-01	189.9100	580.699446	580.799446	symmetric	116151	0.150000
87	594.749433	1199.7690	1199.43	1198.91	1199.170	0.60	0.5990	0.0005	0.205	0.0383461	7.669222e-01	299.8319	594.699433	594.904433	symmetric	118951	13.999987
88	605.799422	1360.7790	1360.02	1360.04	1360.030	0.75	0.7490	0.0006	0.150	0.0477232	9.544657e-01	272.0536	605.749422	605.899422	symmetric	121161	11.049989
89	638.549391	1080.4379	1076.33	1038.52	1057.425	23.01	23.0129	0.0218	3.405	20.1367512	4.027354e+02	3668.3535	637.749392	641.154389	symmetric	127711	32.749969
90	722.154311	1079.8940	1079.58	1079.50	1079.540	0.35	0.3540	0.0003	0.200	0.0363747	7.274950e-01	269.9212	722.099311	722.299311	symmetric	144432	83.604920
91	746.299288	1426.1715	1421.32	1425.69	1423.505	2.67	2.6665	0.0019	0.600	0.4471515	8.943039e+00	925.7250	745.799289	746.399288	symmetric	149261	24.144977
92	749.699285	1536.5539	1534.24	1536.11	1535.175	1.38	1.3790	0.0009	0.200	0.1244955	2.489911e+00	383.9183	749.599285	749.799285	symmetric	149941	3.399997
93	749.849285	1537.4210	1536.11	1536.70	1536.405	1.02	1.0160	0.0007	0.150	0.0683724	1.367449e+00	307.3490	749.799285	749.949285	symmetric	149971	0.150000
94	750.799284	1544.6969	1537.42	1544.27	1540.845	3.85	3.8519	0.0025	0.750	-0.0457384	-9.147684e-01	1232.6275	750.099285	750.849284	symmetric	150161	0.949999
95	751.049284	1546.2080	1544.27	1545.66	1544.965	1.24	1.2430	0.0008	0.300	0.1569068	3.138140e+00	540.8926	750.849284	751.149284	symmetric	150211	0.250000
96	751.354283	1548.6216	1545.66	1546.55	1546.105	2.52	2.5166	0.0016	0.350	0.5026857	1.005372e+01	618.9436	751.149284	751.499283	symmetric	150272	0.304999
97	751.599283	1548.4352	1546.55	1547.28	1546.915	1.52	1.5202	0.0010	0.150	0.1176765	2.353532e+00	309.5001	751.499283	751.649283	symmetric	150321	0.245000
98	751.699283	1548.0860	1547.28	1545.79	1546.535	1.55	1.5510	0.0010	0.200	0.1207685	2.415373e+00	386.7534	751.649283	751.849283	symmetric	150341	0.100000
99	752.699282	1533.6248	1532.87	1533.04	1532.955	0.67	0.6698	0.0004	0.100	0.0334120	6.682408e-01	229.9767	752.649282	752.749282	symmetric	150541	0.999999
100	757.849277	2215.3662	1644.82	2067.16	1855.990	359.38	359.3762	0.1936	1.800	-8.9127498	-1.782552e+02	3424.6704	754.249281	756.049279	symmetric	151571	5.149995
101	758.149277	2218.1729	2212.95	2214.73	2213.840	4.33	4.3329	0.0020	0.350	0.8213744	1.642750e+01	886.3579	757.949277	758.299277	symmetric	151631	0.300000
102	758.349277	2217.4570	2214.73	2214.83	2214.780	2.68	2.6770	0.0012	0.100	0.1338983	2.677968e+00	332.3504	758.299277	758.399277	symmetric	151671	0.200000
103	758.449277	2217.3937	2214.83	2215.35	2215.090	2.30	2.3037	0.0010	0.150	0.1963625	3.927255e+00	443.2139	758.399277	758.549277	symmetric	151691	0.100000
104	758.699276	2214.5860	2212.92	2213.55	2213.235	1.35	1.3510	0.0006	0.100	0.0673835	1.347672e+00	332.0528	758.649276	758.749276	symmetric	151741	0.249999
105	758.849276	2214.7150	2213.55	2212.09	2212.820	1.89	1.8950	0.0009	0.150	0.1715855	3.431713e+00	442.7355	758.749276	758.899276	symmetric	151771	0.150000
106	758.949276	2213.4347	2212.09	2212.14	2212.115	1.32	1.3197	0.0006	0.100	0.0659364	1.318728e+00	331.8830	758.899276	758.999276	symmetric	151791	0.100000
107	759.199276	2209.1088	2208.10	2204.05	2206.075	3.03	3.0338	0.0014	0.205	0.2328372	4.656748e+00	551.7632	759.149276	759.354276	symmetric	151841	0.250000
108	760.349275	2174.3042	2173.46	1849.76	2011.610	162.69	162.6942	0.0809	3.350	78.7267086	1.574536e+03	6918.2043	760.299275	763.649272	symmetric	152071	1.149999
109	765.349270	1726.8773	1726.26	1716.17	1721.215	5.66	5.6622	0.0033	0.350	0.2605282	5.210569e+00	688.7450	765.299270	765.649270	symmetric	153071	4.999995
110	765.699270	1717.9451	1716.17	1715.48	1715.825	2.12	2.1201	0.0012	0.100	0.1060725	2.121452e+00	257.4794	765.649270	765.749270	symmetric	153141	0.350000
111	765.799270	1715.9180	1715.48	1714.89	1715.185	0.73	0.7330	0.0004	0.100	0.0365187	7.303746e-01	257.3144	765.749270	765.849270	symmetric	153161	0.100000
112	774.349262	2071.7456	1839.21	1931.09	1885.150	186.60	186.5956	0.0990	2.650	2.3968735	4.793752e+01	5092.2977	768.999267	771.649264	symmetric	154871	8.549992
113	774.549261	2076.7349	2071.16	2075.69	2073.425	3.31	3.3099	0.0016	0.200	0.2307582	4.615169e+00	518.5862	774.399261	774.599261	symmetric	154911	0.199999
114	775.299261	2088.4192	2085.47	2087.59	2086.530	1.89	1.8892	0.0009	0.250	0.1613125	3.226253e+00	626.1189	775.099261	775.349261	symmetric	155061	0.750000
115	775.899260	2095.2645	2092.87	2094.10	2093.485	1.78	1.7795	0.0009	0.150	0.1087675	2.175353e+00	418.8056	775.799260	775.949260	symmetric	155181	0.599999
116	776.049260	2095.5150	2094.10	2094.82	2094.460	1.05	1.0550	0.0005	0.200	0.0917987	1.835975e+00	523.7068	775.949260	776.149260	symmetric	155211	0.150000
117	776.199260	2095.8220	2094.82	2095.22	2095.020	0.80	0.8020	0.0004	0.150	0.0541121	1.082243e+00	419.0585	776.149260	776.299260	symmetric	155241	0.150000
118	776.449260	2095.5489	2094.63	2094.28	2094.455	1.09	1.0939	0.0005	0.100	0.0547550	1.095101e+00	314.2225	776.399260	776.499259	symmetric	155291	0.250000
119	776.549259	2095.0915	2094.28	2092.05	2093.165	1.93	1.9265	0.0009	0.200	0.1707118	3.414239e+00	523.4612	776.499259	776.699259	symmetric	155311	0.099999
120	776.749259	2092.8210	2092.05	2091.40	2091.725	1.10	1.0960	0.0005	0.155	0.0758240	1.516482e+00	418.4224	776.699259	776.854259	symmetric	155351	0.200000
121	778.749257	2054.2570	2052.73	2050.95	2051.840	2.42	2.4170	0.0012	0.105	0.1161136	2.322274e+00	307.8982	778.699257	778.804257	symmetric	155751	1.999998
122	778.949257	2052.7490	2050.95	2051.31	2051.130	1.62	1.6190	0.0008	0.245	0.2036274	4.072551e+00	512.9772	778.804257	779.049257	symmetric	155791	0.200000
123	779.199257	2051.6971	2050.13	2049.25	2049.690	2.01	2.0071	0.0010	0.155	0.1632415	3.264833e+00	410.1042	779.149257	779.304257	symmetric	155841	0.250000
124	779.799256	2044.2882	2043.39	2042.36	2042.875	1.41	1.4132	0.0007	0.105	0.0684172	1.368346e+00	306.5029	779.749256	779.854256	symmetric	155961	0.599999
125	780.349256	2037.1223	2036.49	2034.47	2035.480	1.64	1.6423	0.0008	0.105	0.0759151	1.518304e+00	305.4047	780.299256	780.404256	symmetric	156071	0.550000
126	781.499255	2022.9592	2021.98	2021.22	2021.600	1.36	1.3592	0.0007	0.250	0.1589145	3.178294e+00	606.6374	781.349255	781.599255	symmetric	156301	1.149999
127	781.699255	2022.2341	2021.22	2019.58	2020.400	1.83	1.8341	0.0009	0.150	0.1801260	3.602523e+00	404.2591	781.599255	781.749254	symmetric	156341	0.200000
128	781.799254	2021.7850	2019.58	2020.63	2020.105	1.68	1.6800	0.0008	0.100	0.0841657	1.683316e+00	303.0991	781.749254	781.849254	symmetric	156361	0.099999
129	781.999254	2024.0695	2020.63	2022.56	2021.595	2.47	2.4745	0.0012	0.250	0.3317118	6.634242e+00	606.8090	781.849254	782.099254	symmetric	156401	0.200000
130	782.149254	2025.9306	2022.56	2024.82	2023.690	2.24	2.2406	0.0011	0.150	0.1889535	3.779073e+00	404.9268	782.099254	782.249254	symmetric	156431	0.150000
131	782.399254	2026.2970	2025.17	2025.66	2025.415	0.88	0.8820	0.0004	0.100	0.0439985	8.799708e-01	303.8563	782.349254	782.449254	symmetric	156481	0.250000
132	782.504254	2027.7803	2025.66	2026.82	2026.240	1.54	1.5403	0.0008	0.150	0.1448932	2.897867e+00	405.3925	782.449254	782.599254	symmetric	156502	0.105000
133	783.249253	2037.0732	2033.02	2036.24	2034.630	2.44	2.4432	0.0012	0.150	0.1151845	2.303692e+00	407.0412	783.149253	783.299253	symmetric	156651	0.744999
134	783.349253	2038.8276	2036.24	2037.14	2036.690	2.14	2.1376	0.0011	0.100	0.1067958	2.135918e+00	305.6103	783.299253	783.399253	symmetric	156671	0.100000
135	783.549253	2038.1051	2037.52	2035.83	2036.675	1.43	1.4301	0.0007	0.100	0.0713821	1.427644e+00	305.5727	783.499253	783.599253	symmetric	156711	0.200000
136	783.649253	2037.5524	2035.83	2036.50	2036.165	1.39	1.3874	0.0007	0.150	0.0899028	1.798057e+00	407.3225	783.599253	783.749253	symmetric	156731	0.100000
137	783.799253	2038.8995	2036.50	2031.66	2034.080	4.82	4.8195	0.0024	0.300	0.3300309	6.600624e+00	712.2563	783.749253	784.049252	symmetric	156761	0.150000
138	788.549248	1830.8964	1829.97	1825.31	1827.640	3.26	3.2564	0.0018	0.200	0.1164886	2.329774e+00	457.0260	788.499248	788.699248	symmetric	157711	4.749995
139	788.749248	1825.8623	1825.31	1824.09	1824.700	1.16	1.1623	0.0006	0.100	0.0582656	1.165313e+00	273.7625	788.699248	788.799248	symmetric	157751	0.200000
140	788.849248	1825.2882	1824.09	1822.57	1823.330	1.96	1.9582	0.0011	0.300	0.1771506	3.543016e+00	638.3410	788.799248	789.099247	symmetric	157771	0.100000
141	789.199247	1824.4200	1822.57	1822.73	1822.650	1.77	1.7700	0.0010	0.200	0.1323992	2.647987e+00	455.7943	789.099247	789.299247	symmetric	157841	0.349999
142	789.599247	1826.0424	1823.44	1824.36	1823.900	2.14	2.1424	0.0012	0.200	0.1793708	3.587419e+00	456.1535	789.449247	789.649247	symmetric	157921	0.400000
143	790.149246	1832.9691	1826.82	1832.14	1829.480	3.49	3.4891	0.0019	0.400	0.1866627	3.733258e+00	823.4519	789.799247	790.199246	symmetric	158031	0.549999
144	790.449246	1839.6320	1834.37	1837.84	1836.105	3.53	3.5270	0.0019	0.200	0.2672997	5.345999e+00	459.2934	790.299246	790.499246	symmetric	158091	0.300000
145	790.549246	1839.7987	1837.84	1839.07	1838.455	1.34	1.3437	0.0007	0.100	0.0669948	1.339897e+00	275.8355	790.499246	790.599246	symmetric	158111	0.100000
146	790.799246	1843.1069	1839.07	1841.86	1840.465	2.64	2.6419	0.0014	0.250	0.3866713	7.733433e+00	552.5258	790.599246	790.849246	symmetric	158161	0.250000
147	790.999246	1845.0887	1843.05	1842.63	1842.840	2.25	2.2487	0.0012	0.105	0.1112594	2.225190e+00	276.5385	790.949246	791.054246	symmetric	158201	0.200000
148	792.899244	1807.8164	1806.50	1803.80	1805.150	2.67	2.6664	0.0015	0.150	0.1886166	3.772336e+00	361.2174	792.849244	792.999244	symmetric	158581	1.899998
149	793.099244	1804.9125	1803.80	1803.11	1803.455	1.46	1.4575	0.0008	0.150	0.1181634	2.363271e+00	360.8080	792.999244	793.149244	symmetric	158621	0.200000
150	793.199244	1805.0261	1803.11	1801.77	1802.440	2.59	2.5861	0.0014	0.200	0.2520743	5.041491e+00	450.8615	793.149244	793.349243	symmetric	158641	0.100000
151	793.449243	1805.1576	1801.77	1804.22	1802.995	2.16	2.1626	0.0012	0.200	0.2357888	4.715781e+00	450.9839	793.349243	793.549243	symmetric	158691	0.249999
152	793.649243	1805.1888	1804.22	1804.00	1804.110	1.08	1.0788	0.0006	0.200	0.1065607	2.131215e+00	451.1334	793.549243	793.749243	symmetric	158731	0.200000
153	793.799243	1804.4885	1804.00	1803.64	1803.820	0.67	0.6684	0.0004	0.100	0.0334563	6.691269e-01	270.6061	793.749243	793.849243	symmetric	158761	0.150000
154	793.899243	1804.5399	1803.64	1803.19	1803.415	1.12	1.1249	0.0006	0.200	0.1098033	2.196068e+00	450.9621	793.849243	794.049243	symmetric	158781	0.100000
155	794.249243	1803.2099	1802.03	1800.11	1801.070	2.14	2.1399	0.0012	0.150	0.1708009	3.416022e+00	360.3851	794.199243	794.349242	symmetric	158851	0.350000
156	797.249240	1705.8269	1704.80	1699.97	1702.385	3.44	3.4419	0.0020	0.500	0.0832136	1.664273e+00	936.3930	797.199240	797.699239	symmetric	159451	2.999997
157	797.749239	1700.5361	1699.97	1699.04	1699.505	1.03	1.0311	0.0006	0.150	0.0915185	1.830372e+00	339.9916	797.699239	797.849239	symmetric	159551	0.499999
158	797.999239	1700.7155	1699.04	1698.28	1698.660	2.06	2.0555	0.0012	0.250	0.2868982	5.737970e+00	509.8843	797.849239	798.099239	symmetric	159601	0.250000
159	798.149239	1701.3344	1698.28	1698.91	1698.595	2.74	2.7394	0.0016	0.100	0.1369675	2.739352e+00	254.9260	798.099239	798.199239	symmetric	159631	0.150000
160	798.299239	1700.5516	1698.91	1698.86	1698.885	1.67	1.6666	0.0010	0.150	0.1447947	2.895896e+00	339.9218	798.199239	798.349239	symmetric	159661	0.150000
161	798.449239	1699.8544	1698.86	1698.37	1698.615	1.24	1.2394	0.0007	0.155	0.1034790	2.069581e+00	339.8286	798.349239	798.504238	symmetric	159691	0.150000
162	798.799238	1699.1622	1697.64	1697.99	1697.815	1.35	1.3472	0.0008	0.205	0.1079934	2.159869e+00	424.5602	798.649238	798.854238	symmetric	159761	0.349999
163	799.099238	1698.3680	1696.99	1697.10	1697.045	1.32	1.3230	0.0008	0.150	0.0897558	1.795118e+00	339.4985	798.999238	799.149238	symmetric	159821	0.300000
164	799.349238	1699.3802	1698.82	1698.15	1698.485	0.90	0.8952	0.0005	0.100	0.0448018	8.960359e-01	254.8172	799.299238	799.399238	symmetric	159871	0.250000
165	799.449238	1698.7997	1698.15	1698.25	1698.200	0.60	0.5997	0.0004	0.100	0.0298880	5.977613e-01	254.7599	799.399238	799.499238	symmetric	159891	0.100000
166	799.649237	1699.9654	1698.25	1699.16	1698.705	1.26	1.2604	0.0007	0.200	0.1519753	3.039509e+00	424.8278	799.499238	799.699237	symmetric	159931	0.199999
167	799.749237	1699.8954	1699.16	1699.17	1699.165	0.73	0.7304	0.0004	0.150	0.0537914	1.075829e+00	339.8866	799.699237	799.849237	symmetric	159951	0.100000
168	799.899237	1699.9499	1699.17	1698.20	1698.685	1.26	1.2649	0.0007	0.100	0.0632324	1.264650e+00	254.8658	799.849237	799.949237	symmetric	159981	0.150000
169	800.049237	1699.4522	1698.20	1697.85	1698.025	1.43	1.4272	0.0008	0.200	0.1373388	2.746779e+00	424.6423	799.949237	800.149237	symmetric	160011	0.150000
170	800.204237	1698.5709	1697.85	1697.22	1697.535	1.04	1.0359	0.0006	0.155	0.0997518	1.995038e+00	339.6080	800.149237	800.304237	symmetric	160042	0.155000
171	809.899228	1726.3067	1516.61	1724.84	1620.725	105.58	105.5818	0.0651	4.700	-11.1218690	-2.224376e+02	7687.3109	805.249232	809.949228	symmetric	161981	9.694991
172	810.004228	1725.9102	1724.84	1725.05	1724.945	0.97	0.9652	0.0006	0.205	0.1305126	2.610255e+00	431.3660	809.949228	810.154227	symmetric	162002	0.105000
173	810.299227	1725.3630	1724.80	1724.82	1724.810	0.55	0.5530	0.0003	0.150	0.0415444	8.308890e-01	345.0030	810.249227	810.399227	symmetric	162061	0.294999
174	810.549227	1726.1862	1724.82	1725.03	1724.925	1.26	1.2612	0.0007	0.200	0.1374278	2.748559e+00	431.3679	810.399227	810.599227	symmetric	162111	0.250000
175	810.649227	1727.7352	1725.03	1726.11	1725.570	2.17	2.1652	0.0013	0.100	0.1082480	2.164962e+00	258.9435	810.599227	810.699227	symmetric	162131	0.100000
176	810.999227	1729.5854	1726.11	1715.86	1720.985	8.60	8.6004	0.0050	0.755	3.9186013	7.837210e+01	1380.7347	810.699227	811.454226	symmetric	162201	0.350000
177	818.199220	1678.5531	1597.79	1677.77	1637.780	40.77	40.7731	0.0249	1.900	3.2912103	6.582427e+01	3196.9541	816.349221	818.249220	symmetric	163641	7.199993
178	818.449219	1678.5245	1678.05	1678.06	1678.055	0.47	0.4695	0.0003	0.100	0.0234860	4.697214e-01	251.7315	818.399220	818.499219	symmetric	163691	0.249999
179	818.549219	1678.5432	1678.06	1675.80	1676.930	1.61	1.6132	0.0010	0.205	0.1192451	2.384904e+00	419.3574	818.499219	818.704219	symmetric	163711	0.100000
180	824.399214	1925.3203	1706.06	1740.84	1723.450	201.87	201.8703	0.1171	0.345	-0.3268253	-6.536512e+00	602.0855	822.554216	822.899215	symmetric	164881	5.849995
181	826.599212	1886.1362	1885.46	1764.70	1825.080	61.06	61.0562	0.0335	1.500	6.0620012	1.212401e+02	2834.9329	826.549212	828.049210	symmetric	165321	2.199998
182	828.099210	1765.6798	1764.70	1756.94	1760.820	4.86	4.8598	0.0028	0.600	0.1075995	2.151992e+00	1144.6383	828.049210	828.649210	symmetric	165621	1.499998
183	828.699210	1757.4821	1756.94	1756.00	1756.470	1.01	1.0121	0.0006	0.150	0.0508252	1.016504e+00	351.3445	828.649210	828.799210	symmetric	165741	0.600000
184	830.549208	1935.5286	1756.00	1873.25	1814.625	120.90	120.9036	0.0666	2.750	134.0099077	2.680201e+03	5214.9560	828.799210	831.549207	symmetric	166111	1.849998
185	831.849207	1872.2450	1871.63	1867.81	1869.720	2.52	2.5250	0.0013	0.350	0.2990028	5.980062e+00	748.1860	831.799207	832.149206	symmetric	166371	1.299999
186	832.199206	1868.5270	1867.81	1868.06	1867.935	0.59	0.5920	0.0003	0.100	0.0296209	5.924191e-01	280.2195	832.149206	832.249206	symmetric	166441	0.349999
187	833.699205	1922.0046	1920.95	1921.34	1921.145	0.86	0.8596	0.0004	0.150	0.0503688	1.007378e+00	384.2791	833.599205	833.749205	symmetric	166741	1.499999
188	833.899205	1924.0857	1921.34	1920.69	1921.015	3.07	3.0707	0.0016	0.350	0.4127980	8.255968e+00	768.8180	833.749205	834.099205	symmetric	166781	0.200000
189	834.149204	1921.6218	1920.69	1920.56	1920.625	1.00	0.9968	0.0005	0.100	0.0498064	9.961280e-01	288.1434	834.099205	834.199204	symmetric	166831	0.249999
190	834.449204	1921.3433	1920.62	1920.01	1920.315	1.03	1.0283	0.0005	0.105	0.0496044	9.920893e-01	288.0989	834.399204	834.504204	symmetric	166891	0.300000
191	834.749204	1921.9203	1919.44	1909.46	1914.450	7.47	7.4703	0.0039	0.800	1.5392350	3.078473e+01	1628.8193	834.599204	835.399203	symmetric	166951	0.300000
192	836.549202	2004.8878	1909.46	1929.54	1919.500	85.39	85.3878	0.0445	2.005	87.0589020	1.741180e+03	4021.9812	835.399203	837.404201	symmetric	167311	1.799998
193	838.299201	1991.7666	1928.58	1887.83	1908.205	83.56	83.5616	0.0438	1.905	76.8787759	1.537577e+03	3797.9738	837.499201	839.404199	symmetric	167661	1.749999
194	841.399198	2027.2022	2023.86	1975.32	1999.590	27.61	27.6122	0.0138	1.250	0.0350216	7.004322e-01	2599.4954	841.349198	842.599196	symmetric	168281	3.099997
195	842.849196	1974.2240	1973.26	1971.26	1972.260	1.96	1.9640	0.0010	0.150	0.1344253	2.688508e+00	394.5861	842.799196	842.949196	symmetric	168571	1.449998
196	850.899189	1524.3273	1476.36	1523.73	1500.045	24.28	24.2823	0.0162	1.750	4.5737830	9.147575e+01	2704.6546	849.199190	850.949188	symmetric	170181	8.049993
197	850.999188	1524.1302	1523.73	1523.06	1523.395	0.74	0.7352	0.0005	0.200	0.0579707	1.159416e+00	380.9064	850.949188	851.149188	symmetric	170201	0.099999
198	851.299188	1523.9193	1523.06	1523.05	1523.055	0.86	0.8643	0.0006	0.200	0.0861730	1.723461e+00	380.8494	851.149188	851.349188	symmetric	170261	0.300000
199	851.399188	1523.4659	1523.05	1522.67	1522.860	0.61	0.6058	0.0004	0.150	0.0422844	8.456890e-01	304.6136	851.349188	851.499188	symmetric	170281	0.100000
200	852.449187	1542.6868	1540.36	1541.25	1540.805	1.88	1.8818	0.0012	0.250	0.2804676	5.609357e+00	462.5223	852.299187	852.549187	symmetric	170491	1.049999
201	852.599187	1541.7200	1541.25	1523.63	1532.440	9.28	9.2800	0.0061	0.605	0.9809838	1.961969e+01	997.1136	852.549187	853.154186	symmetric	170521	0.150000
202	854.849185	1569.1283	1521.55	1566.84	1544.195	24.93	24.9333	0.0161	1.500	3.6706230	7.341253e+01	2397.1711	853.399186	854.899185	symmetric	170971	2.249998
203	854.949185	1567.9755	1566.84	1566.09	1566.465	1.51	1.5105	0.0010	0.150	0.1373691	2.747385e+00	313.4297	854.899185	855.049185	symmetric	170991	0.100000
204	855.099185	1566.7673	1566.09	1566.17	1566.130	0.64	0.6373	0.0004	0.100	0.0318709	6.374187e-01	234.9511	855.049185	855.149184	symmetric	171021	0.150000
205	855.199184	1566.6824	1566.17	1558.36	1562.265	4.42	4.4174	0.0028	0.550	0.0693417	1.386835e+00	937.4289	855.149184	855.699184	symmetric	171041	0.099999
206	855.799184	1559.7816	1558.36	1559.31	1558.835	0.95	0.9466	0.0006	0.150	0.0564843	1.129687e+00	311.8235	855.699184	855.849184	symmetric	171161	0.600000
207	855.949184	1560.5275	1559.31	1560.13	1559.720	0.81	0.8075	0.0005	0.200	0.0990287	1.980576e+00	390.0287	855.849184	856.049184	symmetric	171191	0.150000
208	857.699182	1580.2659	1549.95	1579.40	1564.675	15.59	15.5909	0.0100	1.050	2.4452695	4.890544e+01	1723.5871	856.749183	857.799182	symmetric	171541	1.749998
209	857.849182	1579.9025	1579.40	1556.62	1568.010	11.89	11.8925	0.0076	0.755	0.1180741	2.361483e+00	1254.5849	857.799182	858.554181	symmetric	171571	0.150000
210	858.899181	1555.2396	1554.69	1553.84	1554.265	0.97	0.9746	0.0006	0.150	0.0813289	1.626580e+00	310.9340	858.849181	858.999181	symmetric	171781	1.049999
211	859.099181	1555.1323	1553.84	1554.44	1554.140	0.99	0.9923	0.0006	0.200	0.1262033	2.524069e+00	388.6607	858.999181	859.199181	symmetric	171821	0.200000
212	859.449180	1557.3869	1554.87	1555.82	1555.345	2.04	2.0419	0.0013	0.250	0.1796073	3.592148e+00	466.7835	859.299181	859.549180	symmetric	171891	0.349999
213	859.749180	1556.1443	1555.45	1553.81	1554.630	1.51	1.5143	0.0010	0.200	0.1226422	2.452847e+00	388.7792	859.699180	859.899180	symmetric	171951	0.300000
214	859.949180	1554.2090	1553.81	1550.75	1552.280	1.93	1.9290	0.0012	0.255	0.1598060	3.196123e+00	465.8512	859.899180	860.154180	symmetric	171991	0.200000
215	860.949179	1538.7753	1537.43	1538.11	1537.770	1.01	1.0053	0.0007	0.150	0.0780409	1.560819e+00	307.6313	860.899179	861.049179	symmetric	172191	0.999999
216	861.099179	1538.7699	1538.11	1537.96	1538.035	0.73	0.7349	0.0005	0.150	0.0487457	9.749159e-01	307.6550	861.049179	861.199179	symmetric	172221	0.150000
217	861.299179	1540.4204	1537.96	1540.02	1538.990	1.43	1.4304	0.0009	0.150	0.0774986	1.549973e+00	307.8750	861.199179	861.349179	symmetric	172261	0.200000
218	861.999178	1551.2470	1548.30	1550.76	1549.530	1.72	1.7170	0.0011	0.200	0.0950737	1.901476e+00	387.4772	861.849178	862.049178	symmetric	172401	0.699999
219	864.649175	1692.7021	1689.61	1691.71	1690.660	2.04	2.0421	0.0012	0.100	0.1020976	2.041954e+00	253.7009	864.599175	864.699175	symmetric	172931	2.649997
220	864.949175	1695.4936	1692.04	1693.91	1692.975	2.52	2.5186	0.0015	0.200	0.1624615	3.249233e+00	423.4062	864.849175	865.049175	symmetric	172991	0.300000
221	865.699174	1714.9563	1699.17	1713.30	1706.235	8.72	8.7213	0.0051	0.500	0.6568742	1.313750e+01	939.0835	865.249175	865.749174	symmetric	173141	0.749999
222	865.949174	1719.9895	1717.94	1719.37	1718.655	1.33	1.3345	0.0008	0.100	0.0667170	1.334342e+00	257.8647	865.899174	865.999174	symmetric	173191	0.250000
223	867.799172	1806.1346	1724.28	1804.95	1764.615	41.52	41.5196	0.0235	1.600	2.3904141	4.780833e+01	2914.0098	866.249174	867.849172	symmetric	173561	1.849998
224	868.149172	1799.8994	1799.13	1749.68	1774.405	25.49	25.4944	0.0144	1.000	1.0687871	2.137576e+01	1864.1930	868.099172	869.099171	symmetric	173631	0.350000
225	869.399171	1752.1420	1748.64	1751.56	1750.100	2.04	2.0420	0.0012	0.250	0.1865274	3.730552e+00	525.2171	869.249171	869.499171	symmetric	173881	1.249999
226	869.749171	1757.5659	1751.56	1756.86	1754.210	3.36	3.3559	0.0019	0.300	0.1133943	2.267889e+00	614.0875	869.499171	869.799170	symmetric	173951	0.350000
227	869.899170	1759.8504	1756.86	1758.56	1757.710	2.14	2.1404	0.0012	0.200	0.2511098	5.022201e+00	439.6783	869.799170	869.999170	symmetric	173981	0.149999
228	870.049170	1759.2825	1758.56	1757.55	1758.055	1.23	1.2275	0.0007	0.150	0.0602933	1.205868e+00	351.6703	869.999170	870.149170	symmetric	174011	0.150000
229	870.199170	1758.2067	1757.55	1746.90	1752.225	5.98	5.9817	0.0034	0.555	1.3281941	2.656391e+01	1052.6892	870.149170	870.704170	symmetric	174041	0.150000
230	881.449159	1624.9875	1388.65	1560.35	1474.500	150.49	150.4875	0.1021	6.900	347.4165312	6.948337e+03	10595.1790	876.199164	883.099158	symmetric	176291	11.249989
231	884.199157	1588.3262	1587.76	1567.26	1577.510	10.82	10.8162	0.0069	0.705	0.5197226	1.039446e+01	1183.7043	884.149157	884.854156	symmetric	176841	2.749998
232	886.099155	1539.0577	1537.72	1538.57	1538.145	0.91	0.9127	0.0006	0.200	0.0713116	1.426233e+00	384.6077	885.949155	886.149155	symmetric	177221	1.899998
233	886.299155	1542.3848	1538.57	1540.94	1539.755	2.63	2.6298	0.0017	0.200	0.2617347	5.234699e+00	385.2006	886.149155	886.349155	symmetric	177261	0.200000
234	886.399155	1542.5578	1540.94	1506.23	1523.585	18.97	18.9728	0.0125	1.350	-0.6924976	-1.384997e+01	2132.3259	886.349155	887.699153	symmetric	177281	0.100000
235	888.999152	1535.0426	1506.50	1534.42	1520.460	14.58	14.5826	0.0096	1.250	-2.4317080	-4.863421e+01	1974.1635	887.799153	889.049152	symmetric	177801	2.599997
236	889.199152	1536.8450	1534.42	1535.31	1534.865	1.98	1.9800	0.0013	0.300	0.3723053	7.446114e+00	537.5735	889.049152	889.349152	symmetric	177841	0.200000
237	889.399152	1536.7371	1535.31	1533.73	1534.520	2.22	2.2171	0.0014	0.250	0.1654439	3.308882e+00	460.5204	889.349152	889.599152	symmetric	177881	0.200000
238	889.649152	1534.1780	1533.73	1528.83	1531.280	2.90	2.8980	0.0019	0.500	-0.0547390	-1.094781e+00	842.1495	889.599152	890.099151	symmetric	177931	0.250000
239	890.699151	1537.9486	1528.83	1536.05	1532.440	5.51	5.5086	0.0036	0.700	1.7651013	3.530206e+01	1151.0946	890.099151	890.799150	symmetric	178141	1.049999
240	897.499144	1358.8643	1358.24	1354.38	1356.310	2.55	2.5543	0.0019	0.700	0.5902119	1.180425e+01	1017.8233	897.349144	898.049144	symmetric	179501	6.799993
241	898.199143	1354.8233	1354.38	1354.31	1354.345	0.48	0.4783	0.0004	0.250	0.0627815	1.255631e+00	406.3657	898.049144	898.299143	symmetric	179641	0.699999

shade_flecks.df <- find_flecks(time = chunk$chunk.time,
                               var = chunk$Q_PAR,
                               minTime = 0.001, 
                               minAmp = 0, 
                               minPdiff = 0.00025,
                               asymmetry = 0,
                               shadeflecks = TRUE,
                               asmMethod = "max",
                               time.digits = 6,
                               var.digits = 5,
                               verbose = FALSE)
#> Found 231 shadeflecks

shade_flecks.fig <-
  ggplot(data = chunk) +
  geom_line(aes(chunk.time, Q_PAR), linewidth = 0.2, na.rm = TRUE) +
  geom_point(aes(peakTime, peak), data = shade_flecks.df,
             size = 0.5, colour = "blue", na.rm = TRUE) +
  geom_point(aes(baselineTime1, baseline1), data = shade_flecks.df,
             size = 0.5, colour = "chartreuse3", na.rm = TRUE) +
  geom_point(aes(baselineTime2, baseline2), data = shade_flecks.df, 
             size = 0.5, colour = "chartreuse3", na.rm = TRUE) +
  geom_text(aes(peakTime, peak, label = no), data = shade_flecks.df, 
            colour = "blue", fontface = "bold",
            position = position_nudge(y = 30), size = 2.7, na.rm = TRUE)

shade_flecks.fig

shade_flecks.fig + xlim(0, 100)

knitr::kable(shade_flecks.df)

no	peakTime	peak	baseline1	baseline2	baseline	amplitude	relAmp	percDiff	duration	irradGain	relIrrad	irradTot	baselineTime1	baselineTime2	symmetry	z	timeInterval
1	0.649999	1393.1500	1395.11	1394.27	1394.690	1.54	1.5400	0.0011	0.150	-0.0895977	-1.791956e+00	278.8476	0.549999	0.699999	symmetric	131	NA
2	2.949997	1383.2990	1383.70	1383.72	1383.710	0.41	0.4110	0.0003	0.100	-0.0205982	-4.119647e-01	207.5359	2.899997	2.999997	symmetric	591	2.299998
3	4.949995	1371.4480	1374.14	1372.15	1373.145	1.70	1.6970	0.0012	0.500	-0.3584355	-7.168716e+00	754.8695	4.549996	5.049995	symmetric	991	1.999998
4	9.349991	1447.6011	1448.47	1448.04	1448.255	0.65	0.6539	0.0004	0.200	-0.0250330	-5.006595e-01	362.0394	9.199991	9.399991	symmetric	1871	4.399996
5	14.199986	1356.7862	1358.99	1357.39	1358.190	1.40	1.4038	0.0010	0.250	-0.1442085	-2.884173e+00	407.3124	14.049987	14.299986	symmetric	2841	4.849995
6	14.499986	1355.8561	1357.39	1357.59	1357.490	1.63	1.6339	0.0012	0.250	-0.2563694	-5.127393e+00	406.9903	14.299986	14.549986	symmetric	2901	0.300000
7	14.599986	1356.5943	1357.59	1358.03	1357.810	1.22	1.2157	0.0009	0.150	-0.1111978	-2.223959e+00	271.4508	14.549986	14.699986	symmetric	2921	0.100000
8	14.749986	1357.6921	1358.03	1408.23	1383.130	25.44	25.4379	0.0184	2.650	-4.1943599	-8.388728e+01	3730.2632	14.699986	17.349983	symmetric	2951	0.150000
9	20.199981	1376.2953	1405.79	1376.72	1391.255	14.96	14.9597	0.0108	1.950	-4.2060751	-8.412158e+01	2778.2990	18.299983	20.249981	symmetric	4041	5.449995
10	20.399981	1375.5371	1376.72	1376.21	1376.465	0.93	0.9279	0.0007	0.300	-0.1333051	-2.666104e+00	481.6282	20.249981	20.549980	symmetric	4081	0.200000
11	20.649980	1375.4712	1376.21	1377.14	1376.675	1.20	1.2039	0.0009	0.250	-0.1402319	-2.804641e+00	412.8620	20.549980	20.799980	symmetric	4131	0.249999
12	20.849980	1376.5602	1377.14	1379.85	1378.495	1.93	1.9348	0.0014	0.350	-0.2192556	-4.385116e+00	551.1787	20.799980	21.149980	symmetric	4171	0.200000
13	26.049975	1570.9433	1571.57	1572.68	1572.125	1.18	1.1817	0.0008	0.250	-0.0712595	-1.425192e+00	471.5668	25.999975	26.249975	symmetric	5211	5.199995
14	27.799973	1581.7312	1582.15	1582.63	1582.390	0.66	0.6588	0.0004	0.150	-0.0537763	-1.075527e+00	316.4243	27.749974	27.899973	symmetric	5561	1.749998
15	28.249973	1583.6093	1584.09	1584.66	1584.375	0.77	0.7657	0.0005	0.150	-0.0337522	-6.750442e-01	316.8404	28.199973	28.349973	symmetric	5651	0.450000
16	28.549973	1582.2823	1584.66	1582.78	1583.720	1.44	1.4377	0.0009	0.250	-0.1232978	-2.465957e+00	474.9914	28.349973	28.599973	symmetric	5711	0.300000
17	30.049971	1564.8992	1567.24	1565.88	1566.560	1.66	1.6608	0.0011	0.250	-0.1689728	-3.379460e+00	469.7976	29.899971	30.149971	symmetric	6011	1.499998
18	30.249971	1564.6883	1565.88	1565.61	1565.745	1.06	1.0567	0.0007	0.150	-0.0800803	-1.601607e+00	313.0682	30.149971	30.299971	symmetric	6051	0.200000
19	30.349971	1564.9374	1565.61	1566.91	1566.260	1.32	1.3226	0.0008	0.300	-0.1165303	-2.330608e+00	548.0744	30.299971	30.599971	symmetric	6071	0.100000
20	30.649971	1566.4153	1566.91	1567.84	1567.375	0.96	0.9597	0.0006	0.100	-0.0480621	-9.612435e-01	235.0582	30.599971	30.699971	symmetric	6131	0.300000
21	30.949970	1569.0083	1569.52	1573.51	1571.515	2.51	2.5067	0.0016	0.300	-0.2427921	-4.855846e+00	549.7875	30.899971	31.199970	symmetric	6191	0.299999
22	31.299970	1572.9691	1573.51	1575.54	1574.525	1.56	1.5559	0.0010	0.200	-0.1984645	-3.969293e+00	393.4322	31.199970	31.399970	symmetric	6261	0.350000
23	38.049964	1689.1230	1690.51	1690.33	1690.420	1.30	1.2970	0.0008	0.200	-0.1279900	-2.559803e+00	422.4761	37.999964	38.199964	symmetric	7611	6.749994
24	38.349963	1689.2474	1689.74	1690.13	1689.935	0.69	0.6876	0.0004	0.150	-0.0345454	-6.909089e-01	337.9513	38.299963	38.449963	symmetric	7671	0.299999
25	39.099963	1690.3685	1691.06	1691.57	1691.315	0.95	0.9465	0.0006	0.200	-0.0904526	-1.809055e+00	422.7377	39.049963	39.249963	symmetric	7821	0.750000
26	53.899949	1842.3325	1842.83	1848.00	1845.415	3.08	3.0825	0.0017	0.300	-0.0098611	-1.972220e-01	645.8848	53.849949	54.149948	symmetric	10781	14.799986
27	54.649948	1850.1045	1850.59	1852.63	1851.610	1.51	1.5055	0.0008	0.200	-0.1621190	-3.242382e+00	462.7407	54.599948	54.799948	symmetric	10931	0.749999
28	54.949948	1850.5658	1852.63	1851.69	1852.160	1.59	1.5942	0.0009	0.250	-0.1789668	-3.579340e+00	555.4694	54.799948	55.049948	symmetric	10991	0.300000
29	55.199947	1849.0492	1851.69	1849.60	1850.645	1.60	1.5958	0.0009	0.200	-0.0306214	-6.124279e-01	462.6308	55.049948	55.249947	symmetric	11041	0.249999
30	62.799940	1675.5352	1676.57	1676.47	1676.520	0.98	0.9848	0.0006	0.150	-0.0621929	-1.243859e+00	335.2411	62.749940	62.899940	symmetric	12561	7.599993
31	63.449939	1679.2968	1679.99	1680.74	1680.365	1.07	1.0682	0.0006	0.150	-0.0789360	-1.578721e+00	335.9945	63.399940	63.549939	symmetric	12691	0.649999
32	70.699933	1979.3063	1980.27	1983.86	1982.065	2.76	2.7587	0.0014	0.150	-0.1369955	-2.739913e+00	396.2761	70.649933	70.799932	symmetric	14141	7.249994
33	70.849932	1982.4419	1983.86	2008.21	1996.035	13.59	13.5931	0.0068	1.100	1.9745191	3.949042e+01	2297.4156	70.799932	71.899931	symmetric	14171	0.149999
34	74.699929	1935.5587	2007.52	1936.37	1971.945	36.39	36.3863	0.0185	2.700	-10.7952459	-2.159051e+02	5412.0503	72.099931	74.799929	symmetric	14941	3.849997
35	74.849929	1934.8372	1936.37	1936.17	1936.270	1.43	1.4328	0.0007	0.100	-0.0714791	-1.429584e+00	290.3683	74.799929	74.899929	symmetric	14971	0.150000
36	75.199928	1932.1607	1935.08	1933.35	1934.215	2.05	2.0543	0.0011	0.200	-0.1789349	-3.578701e+00	483.3743	75.049928	75.249928	symmetric	15041	0.349999
37	75.349928	1930.6250	1933.35	1932.81	1933.080	2.46	2.4550	0.0013	0.200	-0.3263177	-6.526361e+00	482.9426	75.249928	75.449928	symmetric	15071	0.150000
38	75.649928	1929.3783	1932.81	1930.06	1931.435	2.06	2.0567	0.0011	0.250	-0.2300109	-4.600222e+00	579.1996	75.449928	75.699928	symmetric	15131	0.300000
39	76.049927	1923.9268	1930.06	1925.30	1927.680	3.75	3.7532	0.0019	0.400	-0.2632077	-5.264159e+00	867.1924	75.699928	76.099927	symmetric	15211	0.399999
40	76.149927	1922.7347	1925.30	1923.49	1924.395	1.66	1.6603	0.0009	0.100	-0.0831850	-1.663702e+00	288.5763	76.099927	76.199927	symmetric	15231	0.100000
41	82.449921	1698.1418	1923.49	1698.82	1811.155	113.01	113.0132	0.0624	6.300	-134.0097440	-2.680197e+03	11366.8288	76.199927	82.499921	symmetric	16491	6.299994
42	83.499920	1704.2638	1704.74	1704.78	1704.760	0.50	0.4962	0.0003	0.100	-0.0246123	-4.922474e-01	255.6885	83.449920	83.549920	symmetric	16701	1.049999
43	83.599920	1703.9683	1704.78	1704.59	1704.685	0.72	0.7167	0.0004	0.100	-0.0357651	-7.153031e-01	255.6665	83.549920	83.649920	symmetric	16721	0.100000
44	188.049821	922.6182	922.90	922.87	922.885	0.27	0.2668	0.0003	0.200	-0.0248217	-4.964345e-01	230.6952	187.999821	188.199821	symmetric	37611	104.449901
45	202.599807	924.8294	925.09	925.10	925.095	0.27	0.2656	0.0003	0.150	-0.0220170	-4.403398e-01	184.9964	202.549807	202.699807	symmetric	40521	14.549986
46	248.599763	948.9234	949.23	949.24	949.235	0.31	0.3116	0.0003	0.300	-0.0511195	-1.022391e+00	332.1813	248.449763	248.749763	symmetric	49721	45.999956
47	339.549676	1272.3127	1272.73	1272.75	1272.740	0.43	0.4273	0.0003	0.200	-0.0519273	-1.038546e+00	318.1325	339.399676	339.599676	symmetric	67911	90.949913
48	339.699676	1271.8355	1272.75	1272.66	1272.705	0.87	0.8695	0.0007	0.150	-0.0527379	-1.054759e+00	254.4879	339.599676	339.749676	symmetric	67941	0.150000
49	343.649672	1321.3445	1321.98	1321.83	1321.905	0.56	0.5605	0.0004	0.150	-0.0373478	-7.469568e-01	264.3442	343.549672	343.699672	symmetric	68731	3.949996
50	344.749671	1313.2488	1313.98	1313.92	1313.950	0.70	0.7012	0.0005	0.200	-0.0773336	-1.546673e+00	328.4096	344.699671	344.899671	symmetric	68951	1.099999
51	348.749667	1365.2336	1365.61	1370.48	1368.045	2.81	2.8114	0.0021	0.300	-0.1193368	-2.386738e+00	478.6969	348.699667	348.999667	symmetric	69751	3.999996
52	357.049659	1343.7689	1344.19	1345.07	1344.630	0.86	0.8611	0.0006	0.150	-0.0548275	-1.096551e+00	268.8715	356.999660	357.149659	symmetric	71411	8.299992
53	362.699654	1664.8540	1665.57	1666.06	1665.815	0.96	0.9610	0.0006	0.100	-0.0481971	-9.639434e-01	249.8243	362.649654	362.749654	symmetric	72541	5.649995
54	362.849654	1662.5341	1666.06	1663.09	1664.575	2.04	2.0409	0.0012	0.150	-0.1098496	-2.196995e+00	332.8054	362.749654	362.899654	symmetric	72571	0.150000
55	362.949654	1661.5409	1663.09	1662.02	1662.555	1.01	1.0141	0.0006	0.100	-0.0508469	-1.016940e+00	249.3326	362.899654	362.999654	symmetric	72591	0.100000
56	363.049654	1658.5274	1662.02	1659.46	1660.740	2.21	2.2126	0.0013	0.100	-0.1107522	-2.215047e+00	249.0004	362.999654	363.099654	symmetric	72611	0.100000
57	363.149654	1656.0906	1659.46	1656.73	1658.095	2.00	2.0044	0.0012	0.100	-0.1002388	-2.004778e+00	248.6138	363.099654	363.199654	symmetric	72631	0.100000
58	423.749596	1265.2037	1274.00	1265.52	1269.760	4.56	4.5563	0.0036	1.100	-1.1371840	-2.274370e+01	1459.0838	422.799597	423.899596	symmetric	84751	60.599942
59	427.999592	1227.0050	1271.77	1243.65	1257.710	30.70	30.7050	0.0244	4.150	-51.9848038	-1.039697e+03	5230.3933	424.799595	428.949591	symmetric	85601	4.249996
60	429.949590	1234.2818	1243.65	1235.08	1239.365	5.08	5.0832	0.0041	1.105	-0.5585328	-1.117067e+01	1424.7285	428.949591	430.054590	symmetric	85991	1.949998
61	432.449588	1359.6332	1360.74	1360.62	1360.680	1.05	1.0468	0.0008	0.100	-0.0522111	-1.044222e+00	204.0492	432.399588	432.499588	symmetric	86491	2.499998
62	436.099584	1351.6060	1351.96	1352.65	1352.305	0.70	0.6990	0.0005	0.350	-0.0110272	-2.205448e-01	540.9109	436.049584	436.399584	symmetric	87221	3.649996
63	436.549584	1352.1108	1352.57	1353.12	1352.845	0.73	0.7342	0.0005	0.150	-0.0423821	-8.476420e-01	270.5261	436.499584	436.649584	symmetric	87311	0.450000
64	440.749580	1291.0250	1291.50	1292.29	1291.895	0.87	0.8700	0.0007	0.500	-0.1601788	-3.203579e+00	710.3818	440.599580	441.099579	symmetric	88151	4.199996
65	441.349579	1292.3310	1292.68	1293.55	1293.115	0.78	0.7840	0.0006	0.200	-0.0523830	-1.047661e+00	323.2271	441.299579	441.499579	symmetric	88271	0.599999
66	441.949579	1296.6441	1297.00	1300.75	1298.875	2.23	2.2309	0.0017	0.655	-0.0685342	-1.370685e+00	909.1339	441.899579	442.554578	symmetric	88391	0.600000
67	444.749576	1300.4802	1302.04	1300.94	1301.490	1.01	1.0098	0.0008	0.505	-0.2191185	-4.382374e+00	715.6009	444.349576	444.854576	symmetric	88951	2.799997
68	456.149565	1871.3335	1872.98	1872.18	1872.580	1.25	1.2465	0.0007	0.100	-0.0622608	-1.245216e+00	280.8243	456.099565	456.199565	symmetric	91231	11.399989
69	460.249561	1567.6768	1750.60	1683.17	1716.885	149.21	149.2082	0.0869	0.555	-0.2203837	-4.407678e+00	1030.0907	457.649564	458.204563	symmetric	92051	4.099996
70	499.249524	991.0502	991.33	991.30	991.315	0.26	0.2648	0.0003	0.155	-0.0208830	-4.176595e-01	198.2415	499.199524	499.354524	symmetric	99851	38.999963
71	516.349508	1020.4535	1020.71	1020.79	1020.750	0.30	0.2965	0.0003	0.200	-0.0219672	-4.393437e-01	255.1654	516.249508	516.449507	symmetric	103271	17.099984
72	529.699495	988.8677	989.62	989.17	989.395	0.53	0.5273	0.0005	0.450	-0.0682845	-1.365692e+00	494.6306	529.299495	529.749495	symmetric	105941	13.349987
73	557.849468	1615.5711	1616.00	1616.05	1616.025	0.45	0.4539	0.0003	0.200	-0.0458209	-9.164198e-01	403.9598	557.749468	557.949468	symmetric	111571	28.149973
74	558.249468	1615.9574	1616.92	1617.20	1617.060	1.10	1.1026	0.0007	0.150	-0.0873303	-1.746609e+00	323.3245	558.199468	558.349468	symmetric	111651	0.400000
75	575.949451	1151.0771	1151.59	1181.21	1166.400	15.32	15.3229	0.0131	1.600	-9.5883484	-1.917672e+02	1914.9704	575.749451	577.349449	symmetric	115191	17.699983
76	580.549446	1265.4662	1266.02	1266.44	1266.230	0.76	0.7638	0.0006	0.100	-0.0381218	-7.624366e-01	189.8960	580.499446	580.599446	symmetric	116111	4.599995
77	580.699446	1265.9426	1266.44	1266.36	1266.400	0.46	0.4574	0.0004	0.150	-0.0292346	-5.846927e-01	253.2503	580.599446	580.749446	symmetric	116141	0.150000
78	580.799446	1265.9022	1266.36	1266.70	1266.530	0.63	0.6278	0.0005	0.105	-0.0304115	-6.082297e-01	189.9480	580.749446	580.854446	symmetric	116161	0.100000
79	594.699433	1199.4276	1201.59	1199.77	1200.680	1.25	1.2524	0.0010	0.500	-0.1008521	-2.017044e+00	660.2736	594.249433	594.749433	symmetric	118941	13.899987
80	597.949430	1166.4292	1198.92	1306.59	1252.755	86.33	86.3258	0.0689	6.700	-376.3099396	-7.526206e+03	8079.7884	594.949433	601.649426	symmetric	119591	3.249997
81	605.749422	1360.0178	1361.02	1360.78	1360.900	0.88	0.8822	0.0006	0.100	-0.0441571	-8.831430e-01	204.0908	605.699422	605.799422	symmetric	121151	7.799992
82	605.899422	1360.0432	1360.78	1360.94	1360.860	0.82	0.8168	0.0006	0.200	-0.0712561	-1.425123e+00	340.1436	605.799422	605.999422	symmetric	121181	0.150000
83	651.149379	1052.3797	1076.97	1052.82	1064.895	12.52	12.5153	0.0118	2.850	-5.9697537	-1.193952e+02	3082.2229	648.599381	651.449379	symmetric	130231	45.249957
84	722.099311	1079.5794	1079.86	1079.89	1079.875	0.30	0.2956	0.0003	0.155	-0.0210824	-4.216486e-01	215.9544	721.999311	722.154311	symmetric	144421	70.949932
85	722.299311	1079.5014	1079.89	1079.83	1079.860	0.36	0.3586	0.0003	0.245	-0.0449791	-8.995838e-01	269.9215	722.154311	722.399311	symmetric	144461	0.200000
86	746.399288	1425.6879	1426.17	1430.07	1428.120	2.43	2.4321	0.0017	0.450	-0.3720176	-7.440360e+00	713.6872	746.299288	746.749288	symmetric	149281	24.099977
87	749.799285	1536.1128	1536.55	1537.42	1536.985	0.87	0.8722	0.0006	0.150	-0.0845191	-1.690384e+00	307.3127	749.699285	749.849285	symmetric	149961	3.399997
88	749.949285	1536.6967	1537.42	1537.66	1537.540	0.84	0.8433	0.0005	0.200	-0.1097109	-2.194221e+00	384.2756	749.849285	750.049285	symmetric	149991	0.150000
89	750.849284	1544.2654	1544.70	1546.21	1545.455	1.19	1.1896	0.0008	0.250	-0.0824265	-1.648531e+00	463.5529	750.799284	751.049284	symmetric	150171	0.899999
90	751.149284	1545.6555	1546.21	1548.62	1547.415	1.76	1.7595	0.0011	0.305	-0.1952344	-3.904691e+00	541.3925	751.049284	751.354283	symmetric	150231	0.300000
91	751.499283	1546.5520	1548.62	1548.44	1548.530	1.98	1.9780	0.0013	0.245	-0.1655253	-3.310508e+00	386.9705	751.354283	751.599283	symmetric	150301	0.349999
92	751.649283	1547.2750	1548.44	1548.09	1548.265	0.99	0.9900	0.0006	0.100	-0.0492785	-9.855703e-01	232.1896	751.599283	751.699283	symmetric	150331	0.150000
93	752.649282	1532.8735	1534.25	1533.62	1533.935	1.06	1.0615	0.0007	0.150	-0.0529145	-1.058291e+00	306.7341	752.549282	752.699282	symmetric	150531	0.999999
94	752.749282	1533.0397	1533.62	2067.16	1800.390	267.35	267.3503	0.1485	3.350	-269.7036300	-5.394078e+03	5851.6256	752.699282	756.049279	symmetric	150551	0.100000
95	757.949277	2212.9541	2215.37	2218.17	2216.770	3.82	3.8159	0.0017	0.300	-0.3769191	-7.538388e+00	775.4917	757.849277	758.149277	symmetric	151591	5.199995
96	758.299277	2214.7328	2218.17	2217.46	2217.815	3.08	3.0822	0.0014	0.200	-0.3708933	-7.417873e+00	554.0823	758.149277	758.349277	symmetric	151661	0.350000
97	758.399277	2214.8252	2217.46	2217.39	2217.425	2.60	2.5998	0.0012	0.100	-0.1300068	-2.600138e+00	332.4835	758.349277	758.449277	symmetric	151681	0.100000
98	758.649276	2212.9240	2215.85	2214.59	2215.220	2.30	2.2960	0.0010	0.100	-0.1146339	-2.292681e+00	332.1676	758.599277	758.699276	symmetric	151731	0.249999
99	758.749276	2213.5525	2214.59	2214.71	2214.650	1.10	1.0975	0.0005	0.150	-0.0694234	-1.388468e+00	442.8602	758.699276	758.849276	symmetric	151751	0.100000
100	758.899276	2212.0906	2214.71	2213.43	2214.070	1.98	1.9794	0.0009	0.100	-0.0992100	-1.984203e+00	332.0117	758.849276	758.949276	symmetric	151781	0.150000
101	759.149276	2208.0959	2212.56	2209.11	2210.835	2.74	2.7391	0.0012	0.150	-0.2003221	-4.006446e+00	441.9658	759.049276	759.199276	symmetric	151831	0.250000
102	760.299275	2173.4627	2202.55	2174.30	2188.425	14.96	14.9623	0.0068	0.850	-0.0260366	-5.207318e-01	1969.5549	759.499276	760.349275	symmetric	152061	1.149999
103	765.299270	1726.2590	2029.61	1849.76	1939.685	213.43	213.4260	0.1100	1.500	0.7485108	1.497023e+01	3007.2569	762.149273	763.649272	symmetric	153061	4.999995
104	765.649270	1716.1664	1726.88	1717.95	1722.415	6.25	6.2486	0.0036	0.350	-0.6345536	-1.269108e+01	688.3293	765.349270	765.699270	symmetric	153131	0.350000
105	765.749270	1715.4809	1717.95	1715.92	1716.935	1.45	1.4541	0.0008	0.100	-0.0725313	-1.450627e+00	257.4670	765.699270	765.799270	symmetric	153151	0.100000
106	765.849270	1714.8943	1715.92	1715.37	1715.645	0.75	0.7507	0.0004	0.100	-0.0373800	-7.476012e-01	257.3087	765.799270	765.899270	symmetric	153171	0.100000
107	774.399261	2071.1613	2071.75	2076.73	2074.240	3.08	3.0787	0.0015	0.200	-0.1704033	-3.408069e+00	518.3892	774.349262	774.549261	symmetric	154881	8.549991
108	774.599261	2075.6861	2076.73	2085.83	2081.280	5.59	5.5939	0.0027	0.500	-0.3135638	-6.271282e+00	1144.3904	774.549261	775.049261	symmetric	154921	0.200000
109	775.349261	2087.5887	2088.42	2090.20	2089.310	1.72	1.7213	0.0008	0.150	-0.0780186	-1.560374e+00	417.7834	775.299261	775.449260	symmetric	155071	0.750000
110	775.949260	2094.0998	2095.26	2095.51	2095.385	1.29	1.2852	0.0006	0.150	-0.0954006	-1.908014e+00	418.9821	775.899260	776.049260	symmetric	155191	0.599999
111	776.149260	2094.8245	2095.51	2095.82	2095.665	0.84	0.8405	0.0004	0.150	-0.0788284	-1.576569e+00	419.0545	776.049260	776.199260	symmetric	155231	0.200000
112	776.399260	2094.6264	2095.51	2095.55	2095.530	0.90	0.9036	0.0004	0.100	-0.0452196	-9.043924e-01	314.2841	776.349260	776.449260	symmetric	155281	0.250000
113	776.499259	2094.2813	2095.55	2095.09	2095.320	1.04	1.0387	0.0005	0.100	-0.0519480	-1.038961e+00	314.2458	776.449260	776.549259	symmetric	155301	0.099999
114	776.699259	2092.0468	2095.09	2092.82	2093.955	1.91	1.9082	0.0009	0.200	-0.1003538	-2.007079e+00	523.3882	776.549259	776.749259	symmetric	155341	0.200000
115	778.699257	2052.7332	2056.10	2054.26	2055.180	2.45	2.4468	0.0012	0.200	-0.2787151	-5.574306e+00	513.5159	778.549258	778.749257	symmetric	155741	1.999998
116	778.804257	2050.9462	2054.26	2052.75	2053.505	2.56	2.5588	0.0012	0.200	-0.3000249	-6.000504e+00	513.0752	778.749257	778.949257	symmetric	155762	0.105000
117	779.149257	2050.1338	2051.58	2051.70	2051.640	1.51	1.5062	0.0007	0.100	-0.0751317	-1.502636e+00	307.6700	779.099257	779.199257	symmetric	155831	0.345000
118	779.749256	2043.3876	2044.88	2044.29	2044.585	1.20	1.1974	0.0006	0.150	-0.0807806	-1.615614e+00	408.8356	779.649256	779.799256	symmetric	155951	0.599999
119	780.299256	2036.4888	2041.49	2037.12	2039.305	2.82	2.8161	0.0014	0.350	-0.3831781	-7.663569e+00	815.3385	779.999256	780.349256	symmetric	156061	0.550000
120	781.249255	2021.5449	2024.50	2022.46	2023.480	1.94	1.9351	0.0010	0.100	-0.0967932	-1.935866e+00	303.4250	781.199255	781.299255	symmetric	156251	0.949999
121	781.599255	2021.2170	2022.96	2022.23	2022.595	1.38	1.3780	0.0007	0.200	-0.1454133	-2.908269e+00	505.5033	781.499255	781.699255	symmetric	156321	0.350000
122	781.749254	2019.5762	2022.23	2021.78	2022.005	2.43	2.4288	0.0012	0.100	-0.1216647	-2.433295e+00	303.1795	781.699255	781.799254	symmetric	156351	0.149999
123	781.849254	2020.6270	2021.78	2024.07	2022.925	2.30	2.2980	0.0011	0.200	-0.1516451	-3.032904e+00	505.5797	781.799254	781.999254	symmetric	156371	0.100000
124	782.099254	2022.5590	2024.07	2025.93	2025.000	2.44	2.4410	0.0012	0.150	-0.1813020	-3.626044e+00	404.8183	781.999254	782.149254	symmetric	156421	0.250000
125	782.449254	2025.6619	2026.30	2027.78	2027.040	1.38	1.3781	0.0007	0.105	-0.0643518	-1.287038e+00	303.9859	782.399254	782.504254	symmetric	156491	0.350000
126	782.599254	2026.8180	2027.78	2031.40	2029.590	2.77	2.7720	0.0014	0.245	-0.1884004	-3.768011e+00	507.1254	782.504254	782.749254	symmetric	156521	0.150000
127	783.299253	2036.2432	2037.07	2038.83	2037.950	1.71	1.7068	0.0008	0.100	-0.0853620	-1.707242e+00	305.6069	783.249253	783.349253	symmetric	156661	0.699999
128	783.399253	2037.1402	2038.83	2037.79	2038.310	1.17	1.1698	0.0006	0.100	-0.0584978	-1.169957e+00	305.6877	783.349253	783.449253	symmetric	156681	0.100000
129	783.599253	2035.8336	2038.11	2037.55	2037.830	2.00	1.9964	0.0010	0.100	-0.0997569	-1.995139e+00	305.5743	783.549253	783.649253	symmetric	156721	0.200000
130	783.749253	2036.4960	2037.55	2038.90	2038.225	1.73	1.7290	0.0008	0.150	-0.1690347	-3.380696e+00	407.4758	783.649253	783.799253	symmetric	156751	0.150000
131	788.499248	1829.9721	1833.60	1830.90	1832.250	2.28	2.2779	0.0012	0.150	-0.1247051	-2.494104e+00	366.3247	788.399248	788.549248	symmetric	157701	4.749995
132	788.699248	1825.3076	1830.90	1825.86	1828.380	3.07	3.0724	0.0017	0.200	-0.2738726	-5.477458e+00	456.8205	788.549248	788.749248	symmetric	157741	0.200000
133	788.799248	1824.0863	1825.86	1825.29	1825.575	1.49	1.4887	0.0008	0.100	-0.0744490	-1.488982e+00	273.7616	788.749248	788.849248	symmetric	157761	0.100000
134	789.099247	1822.5677	1825.29	1824.42	1824.855	2.29	2.2873	0.0013	0.350	-0.4344932	-8.689872e+00	729.5065	788.849248	789.199247	symmetric	157821	0.299999
135	789.299247	1822.7308	1824.42	1823.80	1824.110	1.38	1.3792	0.0008	0.200	-0.1738120	-3.476243e+00	455.8531	789.199247	789.399247	symmetric	157861	0.200000
136	789.649247	1824.3551	1826.04	1826.89	1826.465	2.11	2.1099	0.0012	0.155	-0.1610763	-3.221530e+00	365.1291	789.599247	789.754247	symmetric	157931	0.350000
137	790.199246	1832.1430	1832.97	1834.73	1833.850	1.71	1.7070	0.0009	0.105	-0.0792432	-1.584866e+00	274.9914	790.149246	790.254246	symmetric	158041	0.549999
138	790.499246	1837.8449	1839.63	1839.80	1839.715	1.87	1.8701	0.0010	0.100	-0.0935187	-1.870375e+00	275.8635	790.449246	790.549246	symmetric	158101	0.300000
139	790.599246	1839.0726	1839.80	1843.11	1841.455	2.38	2.3824	0.0013	0.250	-0.0125202	-2.504051e-01	552.4228	790.549246	790.799246	symmetric	158121	0.100000
140	790.849246	1841.8582	1843.11	1843.52	1843.315	1.46	1.4568	0.0008	0.100	-0.0726953	-1.453908e+00	276.4239	790.799246	790.899246	symmetric	158171	0.250000
141	792.849244	1806.4952	1809.06	1807.82	1808.440	1.94	1.9448	0.0011	0.150	-0.1370422	-2.740846e+00	361.5503	792.749244	792.899244	symmetric	158571	1.999998
142	792.999244	1803.7963	1807.82	1804.91	1806.365	2.57	2.5687	0.0014	0.200	-0.2348460	-4.696924e+00	451.3558	792.899244	793.099244	symmetric	158601	0.150000
143	793.149244	1803.1059	1804.91	1805.03	1804.970	1.86	1.8641	0.0010	0.100	-0.0931711	-1.863424e+00	270.6520	793.099244	793.199244	symmetric	158631	0.150000
144	793.349243	1801.7727	1805.03	1805.16	1805.095	3.32	3.3223	0.0018	0.250	-0.3603361	-7.206728e+00	541.1667	793.199244	793.449243	symmetric	158671	0.199999
145	793.549243	1804.2160	1805.16	1805.19	1805.175	0.96	0.9590	0.0005	0.200	-0.0957290	-1.914582e+00	451.1971	793.449243	793.649243	symmetric	158711	0.200000
146	793.749243	1804.0024	1805.19	1804.49	1804.840	0.84	0.8376	0.0005	0.150	-0.0653549	-1.307099e+00	360.9020	793.649243	793.799243	symmetric	158751	0.200000
147	793.849243	1803.6362	1804.49	1804.54	1804.515	0.88	0.8788	0.0005	0.100	-0.0438978	-8.779561e-01	270.6330	793.799243	793.899243	symmetric	158771	0.100000
148	794.199243	1802.0331	1803.30	1803.21	1803.255	1.22	1.2219	0.0007	0.150	-0.1145858	-2.291719e+00	360.5361	794.099243	794.249243	symmetric	158841	0.350000
149	797.199240	1704.8008	1725.62	1705.83	1715.725	10.92	10.9242	0.0064	0.800	-1.6598486	-3.319700e+01	1456.7045	796.449240	797.249240	symmetric	159441	2.999997
150	797.699239	1699.9652	1705.83	1700.54	1703.185	3.22	3.2198	0.0019	0.500	-0.5692084	-1.138418e+01	936.1797	797.249240	797.749239	symmetric	159541	0.499999
151	797.849239	1699.0384	1700.54	1700.72	1700.630	1.59	1.5916	0.0009	0.250	-0.1642746	-3.285495e+00	510.0230	797.749239	797.999239	symmetric	159571	0.150000
152	798.099239	1698.2809	1700.72	1701.33	1701.025	2.74	2.7441	0.0016	0.150	-0.1994695	-3.989393e+00	340.0052	797.999239	798.149239	symmetric	159621	0.250000
153	798.199239	1698.9092	1701.33	1700.55	1700.940	2.03	2.0308	0.0012	0.150	-0.1429534	-2.859070e+00	340.0453	798.149239	798.299239	symmetric	159641	0.100000
154	798.349239	1698.8642	1700.55	1699.85	1700.200	1.34	1.3358	0.0008	0.150	-0.1029878	-2.059758e+00	339.9373	798.299239	798.449239	symmetric	159671	0.150000
155	798.649238	1697.6356	1698.58	1699.16	1698.870	1.23	1.2344	0.0007	0.250	-0.1527820	-3.055642e+00	509.5083	798.549238	798.799238	symmetric	159731	0.299999
156	798.999238	1696.9947	1698.04	1698.37	1698.205	1.21	1.2103	0.0007	0.200	-0.1204950	-2.409903e+00	424.4302	798.899238	799.099238	symmetric	159801	0.350000
157	799.149238	1697.0959	1698.37	1699.14	1698.755	1.66	1.6591	0.0010	0.150	-0.0963066	-1.926135e+00	339.6543	799.099238	799.249238	symmetric	159831	0.150000
158	799.399238	1698.1512	1699.38	1698.80	1699.090	0.94	0.9388	0.0006	0.100	-0.0469382	-9.387642e-01	254.8163	799.349238	799.449238	symmetric	159881	0.250000
159	799.499238	1698.2526	1698.80	1699.97	1699.385	1.13	1.1324	0.0007	0.200	-0.0352854	-7.057088e-01	424.8099	799.449238	799.649237	symmetric	159901	0.100000
160	799.699237	1699.1575	1699.97	1699.90	1699.935	0.78	0.7775	0.0005	0.100	-0.0386441	-7.728825e-01	254.9507	799.649237	799.749237	symmetric	159941	0.199999
161	799.849237	1699.1741	1699.90	1699.95	1699.925	0.75	0.7509	0.0004	0.150	-0.0579509	-1.159019e+00	339.9263	799.749237	799.899237	symmetric	159971	0.150000
162	799.949237	1698.1964	1699.95	1699.45	1699.700	1.50	1.5036	0.0009	0.150	-0.0975289	-1.950579e+00	339.8424	799.899237	800.049237	symmetric	159991	0.100000
163	800.149237	1697.8467	1699.45	1698.57	1699.010	1.16	1.1633	0.0007	0.155	-0.1068678	-2.137357e+00	339.6980	800.049237	800.204237	symmetric	160031	0.200000
164	805.249232	1516.6081	1517.12	1610.46	1563.790	47.18	47.1819	0.0302	2.150	-25.9011508	-5.180235e+02	3414.4378	805.199232	807.349230	symmetric	161051	5.099995
165	809.949228	1724.8404	1726.31	1725.91	1726.110	1.27	1.2696	0.0007	0.105	-0.0651301	-1.302604e+00	258.8523	809.899228	810.004228	symmetric	161991	4.699996
166	810.399227	1724.8191	1725.36	1726.19	1725.775	0.96	0.9559	0.0006	0.250	-0.0930265	-1.860531e+00	517.6389	810.299227	810.549227	symmetric	162081	0.449999
167	810.599227	1725.0283	1726.19	1727.74	1726.965	1.94	1.9367	0.0011	0.100	-0.0966206	-1.932414e+00	258.9472	810.549227	810.649227	symmetric	162121	0.200000
168	810.699227	1726.1122	1727.74	1729.59	1728.665	2.55	2.5528	0.0015	0.350	-0.2190497	-4.380998e+00	691.2444	810.649227	810.999227	symmetric	162141	0.100000
169	814.399223	1597.1787	1601.23	1613.70	1607.465	10.29	10.2863	0.0064	1.400	-6.6656696	-1.333135e+02	2324.1549	813.799224	815.199223	symmetric	162881	3.699996
170	818.499219	1678.0575	1678.52	1678.54	1678.530	0.47	0.4725	0.0003	0.100	-0.0238151	-4.763020e-01	251.7560	818.449219	818.549219	symmetric	163701	4.099996
171	821.004217	1592.3320	1792.51	1800.50	1796.505	204.17	204.1730	0.1136	0.050	0.0000000	0.000000e+00	179.6504	823.299215	823.349215	symmetric	164202	2.504998
172	828.049210	1764.6976	1886.14	1765.68	1825.910	61.21	61.2124	0.0335	1.500	-1.2108750	-2.421752e+01	2828.9438	826.599212	828.099210	symmetric	165611	7.044993
173	828.649210	1756.9386	1765.68	1757.48	1761.580	4.64	4.6414	0.0026	0.600	-0.7490487	-1.498099e+01	1144.2775	828.099210	828.699210	symmetric	165731	0.600000
174	828.799210	1756.0013	1757.48	1804.82	1781.150	25.15	25.1487	0.0141	0.800	-9.1495772	-1.829917e+02	1504.8270	828.699210	829.499209	symmetric	165761	0.150000
175	831.799207	1871.6279	1873.33	1872.24	1872.785	1.16	1.1571	0.0006	0.250	-0.1266671	-2.533345e+00	561.7084	831.599207	831.849207	symmetric	166361	2.999997
176	832.149206	1867.8105	1872.24	1868.53	1870.385	2.57	2.5745	0.0014	0.350	-0.1227567	-2.455135e+00	748.0309	831.849207	832.199206	symmetric	166431	0.349999
177	832.249206	1868.0587	1868.53	1922.15	1895.340	27.28	27.2813	0.0144	1.105	0.4793839	9.587688e+00	2179.9790	832.199206	833.304205	symmetric	166451	0.100000
178	833.599205	1920.9525	1922.55	1922.00	1922.275	1.32	1.3225	0.0007	0.250	-0.1128484	-2.256970e+00	576.5695	833.449205	833.699205	symmetric	166721	1.349999
179	833.749205	1921.3389	1922.00	1924.09	1923.045	1.71	1.7061	0.0009	0.200	-0.1726294	-3.452592e+00	480.5882	833.699205	833.899205	symmetric	166751	0.150000
180	834.099205	1920.6909	1924.09	1921.62	1922.855	2.16	2.1641	0.0011	0.250	-0.2404220	-4.808445e+00	576.6152	833.899205	834.149204	symmetric	166821	0.350000
181	834.599204	1919.4376	1920.15	1921.92	1921.035	1.60	1.5974	0.0008	0.200	-0.1359455	-2.718912e+00	480.1227	834.549204	834.749204	symmetric	166921	0.499999
182	835.399203	1909.4604	1921.92	2004.89	1963.405	53.94	53.9447	0.0275	1.800	-38.4933599	-7.698679e+02	3593.8007	834.749204	836.549202	symmetric	167081	0.799999
183	837.499201	1928.5756	1929.66	1991.77	1960.715	32.14	32.1394	0.0164	0.850	0.0965852	1.931706e+00	1764.7364	837.449201	838.299201	symmetric	167501	2.099998
184	839.499199	1887.2367	1887.89	1889.50	1888.695	1.46	1.4583	0.0008	0.105	-0.0763654	-1.527310e+00	283.2220	839.449199	839.554199	symmetric	167901	1.999998
185	841.349198	2023.8566	2027.42	2027.20	2027.310	3.45	3.4534	0.0017	0.200	-0.3055088	-6.110183e+00	506.5213	841.199198	841.399198	symmetric	168271	1.849999
186	842.799196	1973.2640	1974.61	1974.22	1974.415	1.15	1.1510	0.0006	0.100	-0.0576444	-1.152890e+00	296.1046	842.749196	842.849196	symmetric	168561	1.449998
187	850.949188	1523.7289	1524.33	1524.13	1524.230	0.50	0.5011	0.0003	0.100	-0.0249906	-4.998122e-01	228.6091	850.899189	850.999188	symmetric	170191	8.149992
188	851.149188	1523.0616	1524.13	1523.92	1524.025	0.96	0.9634	0.0006	0.300	-0.1439722	-2.879447e+00	533.2642	850.999188	851.299188	symmetric	170231	0.200000
189	851.349188	1523.0474	1523.92	1523.47	1523.695	0.65	0.6476	0.0004	0.100	-0.0322560	-6.451209e-01	228.5214	851.299188	851.399188	symmetric	170271	0.200000
190	851.499188	1522.6689	1523.47	1523.41	1523.440	0.77	0.7711	0.0005	0.150	-0.0557628	-1.115258e+00	304.6320	851.399188	851.549188	symmetric	170301	0.150000
191	852.549187	1541.2544	1542.69	1541.72	1542.205	0.95	0.9506	0.0006	0.150	-0.0418036	-8.360732e-01	308.3986	852.449187	852.599187	symmetric	170511	1.049999
192	853.399186	1521.5502	1523.85	1569.13	1546.490	24.94	24.9398	0.0161	1.650	-5.6688312	-1.133767e+02	2623.3643	853.199186	854.849185	symmetric	170681	0.849999
193	854.899185	1566.8404	1569.13	1567.98	1568.555	1.71	1.7146	0.0011	0.100	-0.0855738	-1.711477e+00	235.1970	854.849185	854.949185	symmetric	170981	1.499999
194	855.049185	1566.0856	1567.98	1566.77	1567.375	1.29	1.2894	0.0008	0.150	-0.0479615	-9.592311e-01	313.4260	854.949185	855.099185	symmetric	171011	0.150000
195	855.149184	1566.1740	1566.77	1566.68	1566.725	0.55	0.5510	0.0004	0.100	-0.0275399	-5.507986e-01	234.9810	855.099185	855.199184	symmetric	171031	0.099999
196	855.699184	1558.3609	1566.68	1559.78	1563.230	4.87	4.8691	0.0031	0.600	-1.0395412	-2.079084e+01	1015.0603	855.199184	855.799184	symmetric	171141	0.550000
197	855.849184	1559.3120	1559.78	1560.53	1560.155	0.84	0.8430	0.0005	0.150	-0.0288797	-5.775936e-01	312.0017	855.799184	855.949184	symmetric	171171	0.150000
198	856.749183	1549.9519	1555.72	1580.27	1567.995	18.04	18.0431	0.0115	1.250	-6.8447804	-1.368957e+02	2031.5461	856.449183	857.699182	symmetric	171351	0.899999
199	857.799182	1579.3998	1580.27	1579.90	1580.085	0.69	0.6852	0.0004	0.150	-0.0475080	-9.501610e-01	315.9690	857.699182	857.849182	symmetric	171561	1.049999
200	858.849181	1554.6868	1555.39	1555.24	1555.315	0.63	0.6282	0.0004	0.100	-0.0313225	-6.264499e-01	233.2654	858.799181	858.899181	symmetric	171771	1.049999
201	858.999181	1553.8428	1555.24	1555.13	1555.185	1.34	1.3422	0.0009	0.200	-0.0893165	-1.786331e+00	388.7068	858.899181	859.099181	symmetric	171801	0.150000
202	859.199181	1554.4359	1555.13	1554.89	1555.010	0.57	0.5741	0.0004	0.155	-0.0406500	-8.130014e-01	310.9624	859.099181	859.254181	symmetric	171841	0.200000
203	859.699180	1555.4485	1556.09	1556.14	1556.115	0.67	0.6665	0.0004	0.150	-0.0442472	-8.849439e-01	311.1788	859.599180	859.749180	symmetric	171941	0.499999
204	859.899180	1553.8066	1556.14	1554.21	1555.175	1.37	1.3684	0.0009	0.200	-0.0766084	-1.532169e+00	388.7172	859.749180	859.949180	symmetric	171981	0.200000
205	860.899179	1537.4271	1551.02	1538.78	1544.900	7.47	7.4730	0.0048	0.750	-0.2164051	-4.328106e+00	1235.6998	860.199180	860.949179	symmetric	172181	0.999999
206	861.049179	1538.1084	1538.78	1538.77	1538.775	0.67	0.6666	0.0004	0.150	-0.0557919	-1.115839e+00	307.6984	860.949179	861.099179	symmetric	172211	0.150000
207	861.199179	1537.9571	1538.77	1540.42	1539.595	1.64	1.6379	0.0011	0.200	-0.1725063	-3.450129e+00	384.7259	861.099179	861.299179	symmetric	172241	0.150000
208	861.349179	1540.0210	1540.42	1548.55	1544.485	4.46	4.4640	0.0029	0.500	0.0365640	7.312810e-01	849.5023	861.299179	861.799178	symmetric	172271	0.150000
209	862.049178	1550.7634	1551.25	1574.32	1562.785	12.02	12.0216	0.0077	0.600	-1.9173247	-3.834653e+01	1013.8913	861.999178	862.599177	symmetric	172411	0.699999
210	864.699175	1691.7105	1692.70	1692.36	1692.530	0.82	0.8195	0.0005	0.105	-0.0423759	-8.475188e-01	253.8386	864.649175	864.754175	symmetric	172941	2.649997
211	865.049175	1693.9125	1695.49	1699.23	1697.360	3.45	3.4475	0.0020	0.255	-0.4733365	-9.466739e+00	508.7243	864.949175	865.204175	symmetric	173011	0.350000
212	865.749174	1713.2966	1714.96	1718.01	1716.485	3.19	3.1884	0.0019	0.155	-0.1786644	-3.573292e+00	343.1078	865.699174	865.854174	symmetric	173151	0.699999
213	865.999174	1719.3749	1719.99	1724.40	1722.195	2.82	2.8201	0.0016	0.255	-0.0579052	-1.158105e+00	516.5864	865.949174	866.204174	symmetric	173201	0.250000
214	868.099172	1799.1300	1804.19	1799.90	1802.045	2.91	2.9150	0.0016	0.150	-0.1822885	-3.645774e+00	360.2267	867.999172	868.149172	symmetric	173621	2.099998
215	869.249171	1748.6448	1750.00	1752.14	1751.070	2.43	2.4252	0.0014	0.200	-0.2154842	-4.309688e+00	437.5513	869.199171	869.399171	symmetric	173851	1.149999
216	869.499171	1751.5620	1752.14	1757.57	1754.855	3.29	3.2930	0.0019	0.350	-0.5021464	-1.004294e+01	701.4388	869.399171	869.749171	symmetric	173901	0.250000
217	869.799170	1756.8646	1757.57	1759.85	1758.710	1.85	1.8454	0.0011	0.150	-0.0801521	-1.603044e+00	351.6611	869.749171	869.899170	symmetric	173961	0.299999
218	869.999170	1758.5563	1759.85	1759.28	1759.565	1.01	1.0087	0.0006	0.150	-0.0610982	-1.221965e+00	351.8519	869.899170	870.049170	symmetric	174001	0.200000
219	870.149170	1757.5467	1759.28	1758.21	1758.745	1.20	1.1983	0.0007	0.150	-0.0958054	-1.916110e+00	351.6528	870.049170	870.199170	symmetric	174031	0.150000
220	876.199164	1388.6454	1632.86	1514.70	1573.780	185.13	185.1346	0.1176	6.850	-747.6874313	-1.495376e+04	10111.3898	871.999168	878.849162	symmetric	175241	6.049994
221	883.099158	1560.3538	1624.99	1587.94	1606.465	46.11	46.1112	0.0287	2.650	-57.3989068	-1.147979e+03	4280.0508	881.449159	884.099157	symmetric	176621	6.899994
222	885.949155	1537.7235	1567.28	1539.06	1553.170	15.45	15.4465	0.0099	1.200	-4.1453533	-8.290714e+01	1937.3149	884.899156	886.099155	symmetric	177191	2.849997
223	886.149155	1538.5704	1539.06	1542.38	1540.720	2.15	2.1496	0.0014	0.200	-0.0736493	-1.472988e+00	385.1063	886.099155	886.299155	symmetric	177231	0.200000
224	886.349155	1540.9431	1542.38	1542.56	1542.470	1.53	1.5269	0.0010	0.100	-0.0764080	-1.528161e+00	231.2941	886.299155	886.399155	symmetric	177271	0.200000
225	887.699153	1506.2289	1542.56	1506.81	1524.685	18.46	18.4561	0.0121	1.350	-3.9374706	-7.874949e+01	2130.6193	886.399155	887.749153	symmetric	177541	1.349998
226	889.049152	1534.4181	1535.04	1536.85	1535.945	1.53	1.5269	0.0010	0.200	-0.0448910	-8.978201e-01	383.9407	888.999152	889.199152	symmetric	177811	1.349999
227	889.349152	1535.3062	1536.85	1536.74	1536.795	1.49	1.4888	0.0010	0.200	-0.1335390	-2.670783e+00	384.0639	889.199152	889.399152	symmetric	177871	0.300000
228	889.599152	1533.7295	1536.74	1534.18	1535.460	1.73	1.7305	0.0011	0.250	-0.1728760	-3.457524e+00	460.4640	889.399152	889.649152	symmetric	177921	0.250000
229	890.099151	1528.8343	1534.18	1537.95	1536.065	7.23	7.2307	0.0047	1.050	-3.2183234	-6.436653e+01	1686.4497	889.649152	890.699151	symmetric	178021	0.499999
230	892.549149	1431.4406	1431.99	1439.27	1435.630	4.19	4.1894	0.0029	0.650	-0.4983086	-9.966181e+00	1004.4404	892.499149	893.149148	symmetric	178511	2.449998
231	898.049144	1354.3801	1358.86	1354.82	1356.840	2.46	2.4599	0.0018	0.700	-0.3730899	-7.461805e+00	1017.2588	897.499144	898.199143	symmetric	179611	5.499995

Using a reference

Instead of detecting sunflecks as a dynamic temporal process, or local changes in slope, especially in the case of cloud flecks an alternative is to use the estimated clear-sky irradiance as reference and to quantify the size of the deviations, both increases and decreases, in many cases using a fixed threshold. An alternative to using a clear sky simulation is to use a smoothed version of the same data as a reference, a moving median, or a spline-based smoother. However, each of these and the temporal-process approach described above are fundamentally different and describe different properties of the data.

Both observed and reference irradiances need to be available at the same time points. This in some cases can make it necessary to use interpolation to obtain suitable reference data. After this, a simple difference at each time point can be computed and compared against a threshold. As the reference varies in time, the threshold used can be expressed either as an absolute difference or as a relative difference, thus, giving two different quantifications.

Using a quantile smoother

Quantile regression, either of a linear model or a smmothing spline, differs from OLS regression and other common approaches in that it can flexibly be used to find a fitted line that describes a specific quantile. It can be imagined as a combination of a boxplot and a smoother. This approach lets us estimate local deviations from an internal reference different from the local mean or median, say, for example, to identify when irradiance is less than that in the 10% locally highest irradiances.

For vegetation shade a further possibility is to use a quantile regression directly fitted for a target shade threshold.